Applied Mathematics and Optimization

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	30
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	25
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	19
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	17
Analysis of Subdifferentials of Marginal and Performance Functions	16
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	16
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	15
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	14
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	14
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	14
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	13
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	13
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	12
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	12
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	12
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times	11
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	10
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	10
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	10
Pontryagin’s Principle for Some Probabilistic Control Problems	10
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	9
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	9
Statistical Arbitrage for Multiple Co-integrated Stocks	9
Entropic Mean-Field Min–Max Problems via Best Response Flow	8
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	8

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

Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	5
Long Run Stochastic Control Problems with General Discounting	4
Exact Controllability of the Wave Equation on Graphs	4
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	4
The Maximization of the First Eigenvalue for a Two-Phase Material	4
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	4
Continuous Time q-Learning for Mean-Field Control Problems	4
A Second Order Primal–Dual Dynamical System for a Convex–Concave Bilinear Saddle Point Problem	4
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	4
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	4
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	4
Online Adjoint Methods for Optimization of PDEs	4
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	4
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	4
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	4
On the Structure of Optimal Transportation Plans between Discrete Measures	4
Projective Splitting as a Warped Proximal Algorithm	4
The Stochastic Gierer–Meinhardt System	4
Control in Probability for SDE Models of Growth Population	4
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	4
Shape-Programming in Hyperelasticity Through Differential Growth	4
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	4
Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces	4
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	4
A Double Phase Problem Involving Hardy Potentials	4
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	3
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI	3
Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with $$p-$$Laplacian	3
On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints	3
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	3
Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum	3
Regularity and Stabilization of Magneto-Elastic Systems	3
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	3
Constrained Discounted Stochastic Games	3
Convergence of Random Attractors for Stochastic Delay p-Laplacian Equation Driven by Nonlinear Colored Noise on Unbounded Thin Domains	3
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	3
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	3
Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space	3
Finite-Time Blowup in a Parabolic-Parabolic-Elliptic Chemotaxis Model Involving Indirect Signal Production	3
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	3
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	3
Stopper vs. Singular Controller Games With Degenerate Diffusions	3
Polynomial Mixing of a Stochastic Wave Equation with Dissipative Damping	3
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	3
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	3
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	3
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	3
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	3
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	3
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	3
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	3
Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff	3
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	3
A Posteriori Error Estimates for a Bang–Bang Optimal Control Problem	3
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	3
Constraint Qualification with Schauder Basis for Infinite Programming Problems	3
Convergence of the Stochastic Navier–Stokes-$$\alpha $$ Solutions Toward the Stochastic Navier–Stokes Solutions	3
Averaging Principle for Two Time-Scales Stochastic Partial Differential Equations with Reflection	3
Boundedness and Unboundedness in Total Variation Regularization	3
Statistical Estimation of Mean-Field Equilibria in a Class of Discounted Mean-Field Games	3
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint	3
Entire Solutions of Stochastic Unbounded Delay Evolution Variational Inequalities Driven by Tempered Fractional Noise with an Exponential Dichotomy	3
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	3
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	3
Multilevel Selective Harmonic Modulation via Optimal Control	3
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	3
Fitted Value Iteration Methods for Bicausal Optimal Transport	3
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	3
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	2
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	2
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	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
Global Well-posedness of the Nonhomogeneous Initial Boundary Value Problem for the Hirota Equation Posed in a Finite Domain	2
Finite Approximations for Mean-Field Type Multi-agent Control and Their Near Optimality	2
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	2
Global Weak Solutions in a Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy with Nonlinear Diffusion	2
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations Perturbed by Gradient-Type Noise, in Two Dimensions	2
Uniform Decay Rates for a Variable-Coefficient Structural Acoustic Model with Curved Interface on a Shallow Shell	2
Correction to: The Stochastic Gierer–Meinhardt System	2

A Generalization of Hoffman’s Lemma in Banach Spaces and Applications	2
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	2
Stability of Laminated Timoshenko Beams with Local Viscoelastic Versus Frictional Damping	2
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	2
Wasserstein Convergence Rate for Empirical Measures of Markov Processes	2
Necessary Optimality Conditions for Minimax Multiprocesses	2
Existence and Stability of Cylindrical Symmetric Static Solutions to the Landau–Lifshitz Equation for Multidirectional Ferromagnets	2
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	2
Discrete-Time Mean-Field Stochastic Control with Partial Observations	2
Existence of Global Attractors for a Semilinear Wave Equation with Nonlinear Boundary Dissipation and Nonlinear Interior and Boundary Sources with Critical Exponents	2
Weak Closed-Loop Solvability of Linear Quadratic Stochastic Optimal Control Problems with Partial Information	2
Scaling Limit for Stochastic Control Problems in Population Dynamics	2
Relationship Between Stochastic Maximum Principle and Dynamic Programming Principle Under Convex Expectation	2
Exponential Stabilization of a Semi Linear Third Order in Time Equation with Memory	2
Mean Field Markov Decision Processes	2
Continuous Data Assimilation Algorithm for the Two Dimensional Cahn–Hilliard–Navier–Stokes System	2
Stochastic 3D Globally Modified Navier–Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations	2
Path-Dependent Hamilton–Jacobi Equations with u-Dependence and Time-Measurable Hamiltonians	2
On the Global Convergence of Particle Swarm Optimization Methods	2
Parallel Search for Information in Continuous Time—Optimal Stopping and Geometry of the PDE	2
Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms	2
Analysis of District Heating Networks	2
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations	2
A Splitting Method for the Allen-Cahn/Cahn-Hilliard System Coupled with Heat Equation Based on Maxwell-Cattaneo Law	2
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	2
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations	2
$$L^1$$ Transport Energy	2
Optimal Control for Coupled Sweeping Processes Under Minimal Assumptions	2
Hamilton–Jacobi–Bellman Approach for Optimal Control Problems of Sweeping Processes	2
Convex and Nonconvex Sweeping Processes with Velocity Constraints: Well-Posedness and Insights	2
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes	2
Dynamic Programming Principle for Classical and Singular Stochastic Control with Discretionary Stopping	2
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	2
Simultaneous Exact Boundary Controllability of Final State and Nodal Profile for Quasilinear Hyperbolic Systems	2
Stochastic Graphon Games: II. The Linear-Quadratic Case	2
Well-Posedness and Stability for Schrödinger Equations with Infinite Memory	2
Estimates of Exponential Convergence for Solutions of Stochastic Nonlinear Systems	2
On the Time Consistent Solution to Optimal Stopping Problems with Expectation Constraint	2
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	2
Effects of Kelvin–Voigt Damping on the Stability of (Thermo)Elastic Timoshenko System with Second Sound	2
Closed-Loop Solvability of Linear Quadratic Mean-Field Type Stackelberg Stochastic Differential Games	2
Strict Efficiency in Vector Optimization Via a Directional Curvature Functional	2
On the Resolution of the Variational Inequalities of the First and the Second Kind as Equations Obtained by Explicit Moreau–Yosida Regularizations	2
Strong Attractors for the Structurally Damped Kirchhoff Wave Models with Subcritical-Critical Nonlinearities	2
Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC	2
Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence	2
Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes	2
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	2
A Study of Certain Sharp Poincaré Constants as Set Functions of Their Domain	2
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $$L^2(\Omega )$$ Under Control Constraints	2
Linear-Quadratic Mean-Field Backward Stackelberg Game with Mixed Terminal Perturbation	2
An Averaging Principle for Fast–Slow-Coupled Neutral Stochastic Differential Equations with Time-Varying Delay	2
Neural Networks Can Detect Model-Free Static Arbitrage Strategies	1
Asymptotic Behavior of an Adapted Implicit Discretization of Slowly Damped Second Order Dynamical Systems	1
Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions	1
Correction to: A Primal-Dual Partial Inverse Algorithm for Constrained Monotone Inclusions: Applications to Stochastic Programming and Mean Field Games	1
On the Optimal Control of a Linear Peridynamics Model	1
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies	1
Uniform Stabilization for the Semi-linear Wave Equation with Nonlinear Kelvin–Voigt Damping	1
Boundary Controllability for Degenerate/Singular Hyperbolic Equations in Nondivergence Form with Drift	1
Temporal Semi-discretizations of a Backward Semilinear Stochastic Evolution Equation	1
Anisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections	1
A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term	1
A Game Representation for a Finite Horizon State Constrained Continuous Time Linear Regulator Problem	1
Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space	1
Stability and Dynamics for Lamé System with Degenerate Memory and Time-Varying Delay	1
On Shape Optimization for Fourth Order Steklov eigenvalue Problems	1
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping	1
Global Behavior in a Two-Species Chemotaxis-Competition System with Signal-Dependent Sensitivities and Nonlinear Productions	1
A Note on the Differentiability of the Hellinger–Kantorovich Distances	1
Optimal Investment and Reinsurance of Insurers with a Nonlinear Stochastic Factor Model	1
State-Dependent Sweeping Processes with Stieltjes Derivative	1
Observer-Based Exponential Stability of the Fractional Heat Equation	1
Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop	1
Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force	1
Finite Element Approximation of Lyapunov Equations Related to Parabolic Stochastic PDEs	1
A Zero-Sum Poisson Stopping Game with Asymmetric Signal Rates	1
Nonasymptotic Estimates for Stochastic Gradient Langevin Dynamics Under Local Conditions in Nonconvex Optimization	1
De Finetti’s Control Problem with Competition	1
An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces	1
Numerical Approximation of the Solution of an Obstacle Problem Modelling the Displacement of Elliptic Membrane Shells via the Penalty Method	1
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	1
Mean-Field Selective Optimal Control via Transient Leadership	1
Boundary Stabilization of the Korteweg-de Vries-Burgers Equation with an Infinite Memory-Type Control and Applications: A Qualitative and Numerical Analysis	1
Most Probable Flows for Kunita SDEs	1
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary	1
Time Rescaling of a Primal-Dual Dynamical System with Asymptotically Vanishing Damping	1
Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space	1
The $$\alpha $$-Dependence of the Invariant Measure for the Stochastic Navier–Stokes Equation Driven by $$\alpha $$-Stable Lévy Processes	1
An Optimal Multibarrier Strategy for a Singular Stochastic Control Problem with a State-Dependent Reward	1
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations	1
Fluid–Structure Interaction with Kelvin–Voigt Damping: Analyticity, Spectral Analysis, Exponential Decay	1
The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem	1
Dynamics of a Thermoelastic Balakrishnan–Taylor Beam Model with Fractional Operators	1
Perpetual American Options with Asset-Dependent Discounting	1