Applied Mathematics and Optimization

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	46
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	28
On the Improvement of the Barzilai–Borwein Step Size in Variance Reduction Methods	21
Analysis of Subdifferentials of Marginal and Performance Functions	20
On a Chemotaxis-Generalized Navier–Stokes System with Rotational Flux: Global Classical Solutions and Stabilization	20
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	19
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	19
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	18
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	17
Optimal Dividend Payout with Path-dependent Drawdown Constraint	16
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	16
Topological Derivative Method for Design and Control of Timoshenko Beam Networks	16
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	15
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	14
Continuous-Time Risk-Sensitive Reinforcement Learning via Quadratic Variation Penalty	14
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	13
Multi-parameter Robustness of Random Attractors for Non-autonomous Stochastic Lamé Systems	12
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	11
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	11
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	10
A First-Order Mean-Field Game on a Bounded Domain with Mixed Boundary Conditions	10
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	10
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	10
Approximations with Performance Bounds for a Class of Average Cost Markov Decision Processes with Weakly Continuous Kernel and Unbounded Cost Function	10
Stochastic Optimal Switching Problem with Non Signed Switching Payments	10

Well-Posedness and Asymptotic Analysis of Wave Equation with Nonlocal Boundary Damping	10
Topological Derivative of the Thermo-Electro-Mechanical Coupled Problem	10
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	10
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	9
Statistical Arbitrage for Multiple Co-integrated Stocks	9
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	9
Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential	9
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	9
Determination of Singular Control in the Optimal Management of Natural Resources	9
Pontryagin’s Principle for Some Probabilistic Control Problems	9
Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity	8
Machine Learning Architectures for Price Formation Models	8
Inexact Catching-Up Algorithm for Moreau’s Sweeping Processes	8
Optimal Investment with a Noisy Signal of Future Stock Prices	8
Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies	8
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients	8
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	8
Singleton Sets Random Attractors for Lattice Dynamical Systems Driven by a Fractional Brownian Motion Revisited	8
Instability and Stability Analysis of Three-Dimensional Nonhomogeneous Incompressible Viscous Flows with Navier-Slip Boundary Conditions	8
Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes	8
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	8
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	7
Entropic Mean-Field Min–Max Problems via Best Response Flow	7
Exact Controllability of Hemivariational Inequalities in Banach spaces	7
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	7
Optimal Control for Optical Solitons in Nematic Liquid Crystals	7
Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	7
Kinetic Energy and Streamline Properties for Irrotational Equatorial Wind Waves	7
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	7
A Non Linear Optimal Control Problem Related to a Road De-icing Device: Analysis and Numerical Experiments	7
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	7
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	7
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	7
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	7
Asymptotics of Impulse Control Problem with Multiplicative Reward	7
Semidiscrete Shocks for the Full Velocity Difference Model	7
Large Deviations and Optimal Control for Markov Decision Processes	6
Large Deviations For Synchronized System	6
Limiting Behavior of Invariant Measures for Stochastic Quasilinear Parabolic Equations with Nonlinear Noise on Thin Domains	6
A Class of Multivalued Quasi-Variational Inequalities with Applications	6
Core-Radius Approximation of Singular Minimizers in Nonlinear Elasticity	6
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	6
Numerical Shape Optimization Among Convex Sets	6
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	6
Moderate Deviations for Two-Time Scale Systems with Mixed Fractional Brownian Motion	6
Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	6
Zero-Sum Non-stationary Stochastic Games with the Long-Run Average Criterion	6
Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality	6
Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach	6
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	6

Segmentation in Measure Spaces	6
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	6
Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems	6
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics	6
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	6
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	6
Publisher Correction: Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	6
Continuous Time q-Learning for Mean-Field Control Problems	5
Partial Regularity for the Three-Dimensional Stochastic Ericksen–Leslie Equations	5
Generalized exponential $${\mathfrak {D}}_{\mathcal {C}^*}$$–pullback attractor for a nonautonomous wave equation	5
Null Controllability for a Degenerate Population Equation with Memory	5
Asymptotic Behavior of Rao–Nakra Sandwich Beam with Nonlinear Localized Damping and Source Terms	5
Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	5
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	5
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	5
Carleman Estimates and Controllability for Degenerate Wave Equations	5
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	5
Analysis of Multiscale Reinforcement Q-Learning Algorithms for Mean Field Control Games	5
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	5
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	5
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	5
Optimal Control Problem of Evolution Equation Governed by Hypergraph Laplacian	5
Adjoint-Based Calibration of Nonlinear Stochastic Differential Equations	5
An Optimal Uniqueness Result for Riccati Equations Arising in Abstract Parabolic Control Problems	5
Parameter Sensitivity Analysis for Mean Field Games of Production	5
Extremal Eigenvalues of Weighted Steklov Problems	5
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	5
Well-Posedness and Existence of Global and Exponential Attractors for a Nonlinear Model of a Bresse-Type Deck Bridge	5
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	5
Existence and Multiplicity of Solutions for Double Phase Problem on Non-Compact Riemannian Manifolds	5
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	5
On a Shear Thermoelastic Bresse System: Well Posedness and Stability	5
A Selection Procedure for Extracting the Unique Feller Weak Solution of Degenerate Diffusions	5
A Second Order Primal–Dual Dynamical System for a Convex–Concave Bilinear Saddle Point Problem	5
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	5
A New Result for Boundedness in a Quasilinear Two-Species Chemotaxis System with Two Chemicals	5
Carleman Estimate for Semi-discrete Stochastic Parabolic Operators in Arbitrary Dimension and Applications to Controllability	5
Mean-Field Games of Optimal Stopping: Master Equation and Weak Equilibria	5
Regularization and Two Time Scales for Convergence of Reinforcement Learning	5
Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces	5
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	5
Shape-Programming in Hyperelasticity Through Differential Growth	5
A Hierarchical Control Problem for the Benney–Lin Equation Using Stackelberg–Nash Strategy	5
Long Run Stochastic Control Problems with General Discounting	5
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	4
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	4
Fitted Value Iteration Methods for Bicausal Optimal Transport	4
Entire Solutions of Stochastic Unbounded Delay Evolution Variational Inequalities Driven by Tempered Fractional Noise with an Exponential Dichotomy	4
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	4
Infinite Horizon Control Problems for Semilinear Parabolic Equations with Pointwise State Constraints	4
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint	4
Constraint Qualification with Schauder Basis for Infinite Programming Problems	4
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	4
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	4
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	4
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	4
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	4
Martingale Solutions of the Stochastic Electroconvection Equations on $${\mathbb {R}}^2$$ with Multiplicative Noise	4
Analysis of an Optimal Control Problem for the Navier–Stokes System with Tresca Boundary Conditions	4
The Maximization of the First Eigenvalue for a Two-Phase Material	4
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	4
Maximum Principles for Conditional Mean Field Type Control Problems Under Partial and Full Observation with Applications	4
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	4
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	4
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	4
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	4
Control in Probability for SDE Models of Growth Population	4
A Posteriori Error Estimates for a Bang–Bang Optimal Control Problem	4
Finite-Time Blowup in a Parabolic-Parabolic-Elliptic Chemotaxis Model Involving Indirect Signal Production	4
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	4
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	4
Regularity and Stabilization of Magneto-Elastic Systems	4
Statistical Estimation of Mean-Field Equilibria in a Class of Discounted Mean-Field Games	4
Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space	4
MF-OML: Online Mean-Field Reinforcement Learning with Occupation Measures for Large Population Games	4
Stability and Regularity of Coupled Plates Transmission System with Fractional Rotational Force and Fractional Damping	4
Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum	3
Concentration Phenomena of Sign-Changing Solutions for the Planar Schrödinger-Poisson Systems	3
Strong Duality in Infinite Convex Optimization	3
Convergence of Random Attractors for Stochastic Delay p-Laplacian Equation Driven by Nonlinear Colored Noise on Unbounded Thin Domains	3

Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	3
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	3
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI	3
On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints	3
Time-Inconsistent Linear-Quadratic Social Optima for Large Population System	3
Optimal Investment in an Illiquid Market with Search Frictions and Transaction Costs	3
Generalized Wasserstein Barycenters	3
Efficient Douglas–Rachford Methods on Hadamard Manifolds with Applications to the Heron Problems	3
Polynomial Mixing of a Stochastic Wave Equation with Dissipative Damping	3
Concentration Phenomena of Normalized Solutions to the Critical Fractional Relativistic Schrödinger Equation with Competing Potentials	3
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	3
Multiplicity and Stability of Normalized Solutions in Nonlocal Double Phase Problems	3
Convergence of the Stochastic Navier–Stokes-$$\alpha $$ Solutions Toward the Stochastic Navier–Stokes Solutions	3
Generalized Dynkin Games and Doubly Reflected BSDEs Driven by RCLL Martingales	3
Boundedness and Unboundedness in Total Variation Regularization	3
Modelling of Poro-Acoustic Media	3
Weak Closed-Loop Solvability of Linear Quadratic Stochastic Optimal Control Problems with Partial Information	3
Uniform Measure Attractors for Non-autonomous Stochastic Delayed Lattice Systems with Higher-Order Nonlinear Noise	3
Correction to: The Stochastic Gierer–Meinhardt System	3
Optimal Regularity and the Sharp Saturation Exponent for the 3D Keller–Segel–Stokes System	3
Averaging Principle for Two Time-Scales Stochastic Partial Differential Equations with Reflection	3
Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with $$p-$$Laplacian	3
Long-Time Behaviors of Stochastic Linear-Quadratic Optimal Control Problems	3
Solvability of Coupled Forward–Backward Volterra Integral Equations	3
Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff	3
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	3
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	3
Multilevel Selective Harmonic Modulation via Optimal Control	3
Intrinsic Regularization by Noise for 1d Mean Field Games	3
On the Resolution of the Variational Inequalities of the First and the Second Kind as Equations Obtained by Explicit Moreau–Yosida Regularizations	3
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations Perturbed by Gradient-Type Noise, in Two Dimensions	3
A Shape Condition for Exponential Characterization of Timoshenko Systems with Non-smooth Memory Effects	3
Stochastic 3D Globally Modified Navier–Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations	2
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	2
An Operatorial Approach of the Well-Posedness of an Algebraic Riccati Equation	2
On the Global Convergence of Particle Swarm Optimization Methods	2
Stochastic Maximum Principle for Optimal Control Problem with Varying Terminal Time and Non-convex Control Domain	2
Necessary Optimality Conditions for Minimax Multiprocesses	2
Correction: Two-Player Diffusion Control Games with Private Information	2
Global Well-posedness of the Nonhomogeneous Initial Boundary Value Problem for the Hirota Equation Posed in a Finite Domain	2
Hamilton–Jacobi–Bellman Approach for Optimal Control Problems of Sweeping Processes	2
Uniform Decay Rates for a Variable-Coefficient Structural Acoustic Model with Curved Interface on a Shallow Shell	2
Numerical Method for Nonlinear Kolmogorov PDEs via Sensitivity Analysis	2
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	2
A Generalization of Hoffman’s Lemma in Banach Spaces and Applications	2
Existence of Global Attractors for a Semilinear Wave Equation with Nonlinear Boundary Dissipation and Nonlinear Interior and Boundary Sources with Critical Exponents	2
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	2
Existence and Stability of Cylindrical Symmetric Static Solutions to the Landau–Lifshitz Equation for Multidirectional Ferromagnets	2
Analysis of District Heating Networks	2
Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence	2
A Frequency Domain Approach to the Stabilization of the Kirchhoff Plate Equation via Only Neumann Boundary Feedback	2
Effects of Kelvin–Voigt Damping on the Stability of (Thermo)Elastic Timoshenko System with Second Sound	2
Simultaneous Exact Boundary Controllability of Final State and Nodal Profile for Quasilinear Hyperbolic Systems	2
Estimates of Exponential Convergence for Solutions of Stochastic Nonlinear Systems	2
Approximating Inequality Systems Within Probability Functions: Studying Implications for Problems and Consistency of First-Order Information	2
A Complexity Analysis Framework for Active Manifold Identification with Applications to $$L_0$$ and $$L_p$$ Regularization Models	2
Heavy Ball and Nesterov Accelerations with Hessian-Driven Damping for Nonconvex Optimization	2
Finite Approximations for Mean-Field Type Multi-agent Control and Their Near Optimality	2
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes	2
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations	2
Bang–Bang Control of a Prey–Predator Model with a Stable Food Stock and Hysteresis	2
Asymptotic Behavior of Wave Equations with Critical Nonlinearity, Nonlocal Weak Damping and Nonlinear Colored Noise	2
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	2
Dynamic Programming Principle for Classical and Singular Stochastic Control with Discretionary Stopping	2
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations	2
Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes	2
McKean-Vlasov SPDEs Driven by Poisson Random Measure: Well-Posedness and Large Deviation Principle	2
Stability of Laminated Timoshenko Beams with Local Viscoelastic Versus Frictional Damping	2
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	2
$$L^1$$ Transport Energy	2
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	2
Limiting Dynamics of BBM Equations with Nonlinear Colored Noise and Time-Delay on Unbounded Channel	2
Closed-Loop Solvability of Linear Quadratic Mean-Field Type Stackelberg Stochastic Differential Games	2
Stopper vs. Singular Controller Games With Degenerate Diffusions	2
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	2
Multiple Normalized Solutions for Kirchhoff Systems in Mass-Mixed Regimes	2
Stabilization for the Transmission Wave/Plate Equation with Variable Coefficients and a Time-Varying Delay on the Viscoelastic Boundary	2
On the Stability of Thermoelastic Bresse System Under Non-global Cattaneo’s Law on Both Bending Moment and Axial Force	2
Mean Field Markov Decision Processes	2
Relationship Between Stochastic Maximum Principle and Dynamic Programming Principle Under Convex Expectation	2
Scaling Limit for Stochastic Control Problems in Population Dynamics	2
Global Weak Solutions in a Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy with Nonlinear Diffusion	2
Exponential Stabilization of a Semi Linear Third Order in Time Equation with Memory	2
Optimal Control for Coupled Sweeping Processes Under Minimal Assumptions	2
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	2
Wasserstein Convergence Rate for Empirical Measures of Markov Processes	2
Global Weak Solutions to a Two-Dimensional Doubly Degenerate Nutrient Taxis System with Logistic Source	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
A Study of Certain Sharp Poincaré Constants as Set Functions of Their Domain	2
Discrete-Time Mean-Field Stochastic Control with Partial Observations	2
On the Time Consistent Solution to Optimal Stopping Problems with Expectation Constraint	2
Sensitivity Analysis of an Optimal Control Problem Driven by Differential Hemivariational Inequality for Nonstationary Thermistor Systems	2
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	2
Path-Dependent Hamilton–Jacobi Equations with u-Dependence and Time-Measurable Hamiltonians	2