Applied Mathematics and Optimization

Papers
(The TQCC of Applied Mathematics and Optimization is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
Almost Sectorial Operators in Fractional Superdiffusion Equations30
A Generalization of Hoffman’s Lemma in Banach Spaces and Applications22
Optimality of Vaccination for Prevalence-Constrained SIRS Epidemics21
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress20
Continuous Time q-Learning for Mean-Field Control Problems17
Null Boundary Controllability of the Linear Kuramoto–Sivashinsky Equation with Variable Coefficients17
Multidomain Optimal Control of Variational Subpotential Mixed Evolution Inclusions16
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow16
Singular Control of the Drift of a Brownian System13
Linear-Quadratic Mean-Field Backward Stackelberg Game with Mixed Terminal Perturbation13
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian13
On the One-Dimensional Singular Abreu Equations13
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators13
Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian12
On the Local Existence of Solutions to the Fluid–Structure Interaction Problem with a Free Interface12
Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes12
Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop12
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations11
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms11
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy10
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised10
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control9
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations8
Exact Internal Controllability for a Problem with Imperfect Interface8
Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian8
On Quasi-Stationary Mean Field Games of Controls8
Long Run Stochastic Control Problems with General Discounting8
Analysis of District Heating Networks8
Differentiability Properties for Boundary Control of Fluid-Structure Interactions of Linear Elasticity with Navier-Stokes Equations with Mixed-Boundary Conditions in a Channel8
Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations7
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations7
The Cost of Null Controllability for a Backward Stochastic Degenerate Parabolic Equation in the Vanishing Viscosity Limit7
An Extended McKean–Vlasov Dynamic Programming Approach to Robust Equilibrium Controls Under Ambiguous Covariance Matrix7
A Nesterov Type Algorithm with Double Tikhonov Regularization: Fast Convergence of the Function Values and Strong Convergence to the Minimal Norm Solution7
A Spatial Pareto Exchange Economy Problem7
Analysis of the Finite-State Ergodic Master Equation7
Irreducibility of Stochastic Complex Ginzburg-Landau Equations Driven by Pure Jump Noise and Its Applications7
On Explicit Abstract Neutral Differential Equations with State-Dependent Delay6
Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle6
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions6
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains6
Porous-elastic Plates: Fourier Versus Type III6
Low Perturbations and Combined Effects of Critical and Singular Nonlinearities in Kirchhoff Problems6
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model6
Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains6
Entropic Approximation of $$\infty $$-Optimal Transport Problems6
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources6
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network6
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems6
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity6
Stackelberg Game Approach to Mixed Stochastic $$H_{2}/H_{\infty }$$ Control for Mean-Field Jump-Diffusions Systems6
Uniform Stabilization for the Semi-linear Wave Equation with Nonlinear Kelvin–Voigt Damping6
Classical and Quantum Controllability of a Rotating Asymmetric Molecule6
Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence6
On the Small-Mass Limit for Stationary Solutions of Stochastic Wave Equations with State Dependent Friction5
Fast Continuous Dynamics Inside the Graph of Subdifferentials of Nonsmooth Convex Functions5
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets5
Shape-Programming in Hyperelasticity Through Differential Growth5
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space5
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs5
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection5
The Stochastic Gierer–Meinhardt System5
Relationship Between the Maximum Principle and Dynamic Programming for Minimax Problems5
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds5
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay5
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification5
Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier–Stokes Equations5
Factor-$$\sqrt{2}$$ Acceleration of Accelerated Gradient Methods5
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities5
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions5
Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations5
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting5
Deterministic Control of SDEs with Stochastic Drift and Multiplicative Noise: A Variational Approach5
Non-concave Expected Utility Optimization with Uncertain Time Horizon4
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology4
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains4
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D4
Generalized $$\varphi $$-Pullback Attractors for Evolution Processes and Application to a Nonautonomous Wave Equation4
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations4
Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions4
Optimal Distributed Control for a Viscous Non-local Tumour Growth Model4
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations4
Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System4
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid4
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier–Stokes Equations4
Global Existence and Optimal Estimation of the Cauchy Problem to the 3D Fluid Equations4
The Maximization of the First Eigenvalue for a Two-Phase Material4
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics4
Mean Field Control and Finite Agent Approximation for Regime-Switching Jump Diffusions4
Optimal Control Strategies for Bistable ODE Equations: Application to Mosquito Population Replacement4
Convergence of Discrete-Time Deterministic Games to Path-Dependent Isaacs Partial Differential Equations Under Quadratic Growth Conditions4
Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems4
Boundary Stabilization of the Korteweg-de Vries-Burgers Equation with an Infinite Memory-Type Control and Applications: A Qualitative and Numerical Analysis4
A Delay Nonlocal Quasilinear Chafee–Infante Problem: An Approach via Semigroup Theory4
Optimal Temperature Distribution for a Nonisothermal Cahn–Hilliard System with Source Term4
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle4
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps4
Parameter Estimation of an Epidemic Model with State Constraints4
Discrete-Time Mean-Field Stochastic Control with Partial Observations3
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $$L^2(\Omega )$$ Under Control Constraints3
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations3
Non-Markovian Impulse Control Under Nonlinear Expectation3
Mean-Field Selective Optimal Control via Transient Leadership3
Linearized Proximal Algorithms with Adaptive Stepsizes for Convex Composite Optimization with Applications3
Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection3
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions3
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies3
Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures3
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations3
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes3
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes3
Mean Field Markov Decision Processes3
Longtime Dynamics for a Class of Strongly Damped Wave Equations with Variable Exponent Nonlinearities3
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions3
Information Projection on Banach Spaces with Applications to State Independent KL-Weighted Optimal Control3
The Kuznetsov and Blackstock Equations of Nonlinear Acoustics with Nonlocal-in-Time Dissipation3
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary3
Controlling a Nonlinear Fokker–Planck Equation via Inputs with Nonlocal Action3
An Optimal Multibarrier Strategy for a Singular Stochastic Control Problem with a State-Dependent Reward3
Hamilton–Jacobi–Bellman Approach for Optimal Control Problems of Sweeping Processes3
Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton–Jacobi–Bellman Equations with Jumps3
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach3
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions3
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients3
Nonuniqueness of Weak Solutions to the Dissipative Aw–Rascle Model3
Stability for Locally Coupled Wave-Type Systems with Indirect Mixed-Type Dampings3
Generalized Conditions and Improved Method on Asymptotic Stability for a Wave Equation with Variable Density3
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization3
Superfair Stochastic Games3
Online Adjoint Methods for Optimization of PDEs3
Control in Probability for SDE Models of Growth Population3
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times3
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System3
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process3
Correction to: A Primal-Dual Partial Inverse Algorithm for Constrained Monotone Inclusions: Applications to Stochastic Programming and Mean Field Games3
Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space3
Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity3
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$3
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