Applied Mathematics and Optimization

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	23
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	22
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	21
Porous-elastic Plates: Fourier Versus Type III	17
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian	16
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	15
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	15
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	14
Analysis of Subdifferentials of Marginal and Performance Functions	14
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	13
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	13
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	13
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	13
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	12
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	12
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	11
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	11
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	11
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times	10
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	10
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	9
Pontryagin’s Principle for Some Probabilistic Control Problems	9
Correction to: Stochastic Maximum Principle Under Probability Distortion	9
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	8
Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity	8

Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	8
Determination of Singular Control in the Optimal Management of Natural Resources	8
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	8
Machine Learning Architectures for Price Formation Models	8
Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes	8
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	8
Statistical Arbitrage for Multiple Co-integrated Stocks	8
Entropic Mean-Field Min–Max Problems via Best Response Flow	8
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	8
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	7
Optimal Investment with a Noisy Signal of Future Stock Prices	7
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	7
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	7
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	7
Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential	7
Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach	7
Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies	7
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients	7
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	7
A Non Linear Optimal Control Problem Related to a Road De-icing Device: Analysis and Numerical Experiments	6
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	6
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	6
Optimal Control for Optical Solitons in Nematic Liquid Crystals	6
Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality	6
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	6
Semidiscrete Shocks for the Full Velocity Difference Model	6
Publisher Correction: Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	6
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	6
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	6
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	6
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	6
Asymptotics of Impulse Control Problem with Multiplicative Reward	6
Numerical Shape Optimization Among Convex Sets	6
Large Deviations For Synchronized System	5
Moderate Deviations for Two-Time Scale Systems with Mixed Fractional Brownian Motion	5
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	5
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	5
Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	5
Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	5
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	5
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics	5
Parameter Sensitivity Analysis for Mean Field Games of Production	5
Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems	5
Linear Quadratic Mean Field Social Optimization: Asymptotic Solvability and Decentralized Control	5
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	5
A Class of Multivalued Quasi-Variational Inequalities with Applications	5
Adjoint-Based Calibration of Nonlinear Stochastic Differential Equations	5
Segmentation in Measure Spaces	5
Asymptotic Behavior of Rao–Nakra Sandwich Beam with Nonlinear Localized Damping and Source Terms	5
Zero-Sum Non-stationary Stochastic Games with the Long-Run Average Criterion	5

Shape-Programming in Hyperelasticity Through Differential Growth	4
A Selection Procedure for Extracting the Unique Feller Weak Solution of Degenerate Diffusions	4
The Stochastic Gierer–Meinhardt System	4
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	4
Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	4
A Second Order Primal–Dual Dynamical System for a Convex–Concave Bilinear Saddle Point Problem	4
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	4
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	4
Projective Splitting as a Warped Proximal Algorithm	4
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	4
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	4
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	4
Theory of Solutions for an Inextensible Cantilever	4
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	4
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	4
Continuous Time q-Learning for Mean-Field Control Problems	4
Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces	4
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	4
Long Run Stochastic Control Problems with General Discounting	4
Exploiting Characteristics in Stationary Action Problems	4
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	4
A Double Phase Problem Involving Hardy Potentials	4
Orlicz Space Regularization of Continuous Optimal Transport Problems	4
Null Controllability for a Degenerate Population Equation with Memory	4
Optimal Control of Stochastic Differential Equations via Fokker–Planck Equations	4
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	4
On the Structure of Optimal Transportation Plans between Discrete Measures	4
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	4
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	3
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier–Stokes Equations	3
Constrained Discounted Stochastic Games	3
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	3
Boundedness and Unboundedness in Total Variation Regularization	3
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	3
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	3
Multilevel Selective Harmonic Modulation via Optimal Control	3
Convergence of Non-autonomous Attractors for Subquintic Weakly Damped Wave Equation	3
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI	3
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	3
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	3
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	3
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	3
Online Adjoint Methods for Optimization of PDEs	3
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	3
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	3
Averaging Principle for Two Time-Scales Stochastic Partial Differential Equations with Reflection	3
Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum	3
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	3
Convergence of Random Attractors for Stochastic Delay p-Laplacian Equation Driven by Nonlinear Colored Noise on Unbounded Thin Domains	3
Exact Controllability of the Wave Equation on Graphs	3
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	3
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	3
Regularity and Stabilization of Magneto-Elastic Systems	3
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	3
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	3
Control in Probability for SDE Models of Growth Population	3
The Maximization of the First Eigenvalue for a Two-Phase Material	3
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	3
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	3
On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints	3
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint	3
Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff	3
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	3
Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space	3
Constraint Qualification with Schauder Basis for Infinite Programming Problems	3
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	3
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	3
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	3
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	3
A Splitting Method for the Allen-Cahn/Cahn-Hilliard System Coupled with Heat Equation Based on Maxwell-Cattaneo Law	2
Large Deviation Principle for McKean–Vlasov Quasilinear Stochastic Evolution Equations	2
$$L^1$$ Transport Energy	2
Estimates of Exponential Convergence for Solutions of Stochastic Nonlinear Systems	2
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	2
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations Perturbed by Gradient-Type Noise, in Two Dimensions	2
On the Global Convergence of Particle Swarm Optimization Methods	2
Correction to: The Stochastic Gierer–Meinhardt System	2
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	2
Convergence of the Stochastic Navier–Stokes-$$\alpha $$ Solutions Toward the Stochastic Navier–Stokes Solutions	2
On the Time Consistent Solution to Optimal Stopping Problems with Expectation Constraint	2

Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $$L^2(\Omega )$$ Under Control Constraints	2
Scaling Limit for Stochastic Control Problems in Population Dynamics	2
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	2
Well-Posedness and Stability for Schrödinger Equations with Infinite Memory	2
Stackelberg–Nash Controllability for N-Dimensional Nonlinear Parabolic Partial Differential Equations	2
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations	2
Existence and Stability of Cylindrical Symmetric Static Solutions to the Landau–Lifshitz Equation for Multidirectional Ferromagnets	2
Discrete-Time Mean-Field Stochastic Control with Partial Observations	2
A Study of Certain Sharp Poincaré Constants as Set Functions of Their Domain	2
Necessary Optimality Conditions for Minimax Multiprocesses	2
On Numerical Approaches for Solving an Inverse Cauchy Stokes Problem	2
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	2
An Averaging Principle for Fast–Slow-Coupled Neutral Stochastic Differential Equations with Time-Varying Delay	2
Polynomial Mixing of a Stochastic Wave Equation with Dissipative Damping	2
Stability of Laminated Timoshenko Beams with Local Viscoelastic Versus Frictional Damping	2
Stochastic 3D Globally Modified Navier–Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations	2
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	2
Parallel Search for Information in Continuous Time—Optimal Stopping and Geometry of the PDE	2
Simultaneous Exact Boundary Controllability of Final State and Nodal Profile for Quasilinear Hyperbolic Systems	2
Stopper vs. Singular Controller Games With Degenerate Diffusions	2
Exponential Stabilization of a Semi Linear Third Order in Time Equation with Memory	2
Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with $$p-$$Laplacian	2
SIR Dynamics with Vaccination in a Large Configuration Model	2
Stochastic Graphon Games: II. The Linear-Quadratic Case	2
Global Weak Solutions in a Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy with Nonlinear Diffusion	2
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	2
Existence of Global Attractors for a Semilinear Wave Equation with Nonlinear Boundary Dissipation and Nonlinear Interior and Boundary Sources with Critical Exponents	2
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations	2
Dynamic Programming Principle for Classical and Singular Stochastic Control with Discretionary Stopping	2
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	2
Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes	2
Mean Field Markov Decision Processes	2
Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC	2
A Generalization of Hoffman’s Lemma in Banach Spaces and Applications	2
Hamilton–Jacobi–Bellman Approach for Optimal Control Problems of Sweeping Processes	2
Weak Closed-Loop Solvability of Linear Quadratic Stochastic Optimal Control Problems with Partial Information	2
Continuous Data Assimilation Algorithm for the Two Dimensional Cahn–Hilliard–Navier–Stokes System	2
Effects of Kelvin–Voigt Damping on the Stability of (Thermo)Elastic Timoshenko System with Second Sound	2
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	2
On the Resolution of the Variational Inequalities of the First and the Second Kind as Equations Obtained by Explicit Moreau–Yosida Regularizations	2
Bang–Bang Control of a Prey–Predator Model with a Stable Food Stock and Hysteresis	2
Optimal Investment in an Illiquid Market with Search Frictions and Transaction Costs	2
Closed-Loop Solvability of Linear Quadratic Mean-Field Type Stackelberg Stochastic Differential Games	2
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	2
Global Well-posedness of the Nonhomogeneous Initial Boundary Value Problem for the Hirota Equation Posed in a Finite Domain	2
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	2
Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence	2
Path-Dependent Hamilton–Jacobi Equations with u-Dependence and Time-Measurable Hamiltonians	2
Analysis of District Heating Networks	2
Convex and Nonconvex Sweeping Processes with Velocity Constraints: Well-Posedness and Insights	2
Linear-Quadratic Mean-Field Backward Stackelberg Game with Mixed Terminal Perturbation	2
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	2
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	2
Optimal Distributed Control of a Allen–Cahn/Cahn–Hilliard System with Temperature	2
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes	2
Global Behavior in a Two-Species Chemotaxis-Competition System with Signal-Dependent Sensitivities and Nonlinear Productions	1
Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space	1
Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains	1
Entropic Approximation of $$\infty $$-Optimal Transport Problems	1
Strict Efficiency in Vector Optimization Via a Directional Curvature Functional	1
On Explicit Abstract Neutral Differential Equations with State-Dependent Delay	1
Strong Attractors for the Structurally Damped Kirchhoff Wave Models with Subcritical-Critical Nonlinearities	1
Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop	1
Mean-Field Selective Optimal Control via Transient Leadership	1
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations	1
Neural Networks Can Detect Model-Free Static Arbitrage Strategies	1
Observer-Based Exponential Stability of the Fractional Heat Equation	1
Boundary Controllability for Degenerate/Singular Hyperbolic Equations in Nondivergence Form with Drift	1
Correction to: A Primal-Dual Partial Inverse Algorithm for Constrained Monotone Inclusions: Applications to Stochastic Programming and Mean Field Games	1
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid	1
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations	1
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities	1
On the One-Dimensional Singular Abreu Equations	1
Uniform Decay Rates for a Variable-Coefficient Structural Acoustic Model with Curved Interface on a Shallow Shell	1
Classical and Quantum Controllability of a Rotating Asymmetric Molecule	1
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets	1
Nonlocal Green Theorems and Helmholtz Decompositions for Truncated Fractional Gradients	1
The $$\alpha $$-Dependence of the Invariant Measure for the Stochastic Navier–Stokes Equation Driven by $$\alpha $$-Stable Lévy Processes	1
Finite Element Approximation of Lyapunov Equations Related to Parabolic Stochastic PDEs	1
Asymptotic Behavior of an Adapted Implicit Discretization of Slowly Damped Second Order Dynamical Systems	1
Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force	1
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary	1
Boundary Stabilization of the Korteweg-de Vries-Burgers Equation with an Infinite Memory-Type Control and Applications: A Qualitative and Numerical Analysis	1
Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions	1
Uniform Stabilization for the Semi-linear Wave Equation with Nonlinear Kelvin–Voigt Damping	1
Differentiability Properties for Boundary Control of Fluid-Structure Interactions of Linear Elasticity with Navier-Stokes Equations with Mixed-Boundary Conditions in a Channel	1
Optimal Investment and Reinsurance of Insurers with a Nonlinear Stochastic Factor Model	1
Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms	1
A Note on the Differentiability of the Hellinger–Kantorovich Distances	1
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping	1
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	1
Temporal Semi-discretizations of a Backward Semilinear Stochastic Evolution Equation	1
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	1
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies	1
An Optimal Multibarrier Strategy for a Singular Stochastic Control Problem with a State-Dependent Reward	1