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 2021-02-01 to 2025-02-01.)
ArticleCitations
Deterministic Control of SDEs with Stochastic Drift and Multiplicative Noise: A Variational Approach23
Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian19
Relationship Between the Maximum Principle and Dynamic Programming for Minimax Problems17
Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian16
Null Boundary Controllability of the Linear Kuramoto–Sivashinsky Equation with Variable Coefficients16
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets15
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network15
Porous-elastic Plates: Fourier Versus Type III14
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity13
Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier–Stokes Equations12
Multidomain Optimal Control of Variational Subpotential Mixed Evolution Inclusions10
Analysis of the Finite-State Ergodic Master Equation10
Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations9
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations9
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay9
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations9
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection9
On Explicit Abstract Neutral Differential Equations with State-Dependent Delay9
Analysis of District Heating Networks8
Exact Internal Controllability for a Problem with Imperfect Interface8
Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence8
Factor-$$\sqrt{2}$$ Acceleration of Accelerated Gradient Methods8
Classical and Quantum Controllability of a Rotating Asymmetric Molecule8
An Extended McKean–Vlasov Dynamic Programming Approach to Robust Equilibrium Controls Under Ambiguous Covariance Matrix8
On the One-Dimensional Singular Abreu Equations7
A Spatial Pareto Exchange Economy Problem7
Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle7
Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop7
Differentiability Properties for Boundary Control of Fluid-Structure Interactions of Linear Elasticity with Navier-Stokes Equations with Mixed-Boundary Conditions in a Channel7
Uniform Stabilization for the Semi-linear Wave Equation with Nonlinear Kelvin–Voigt Damping7
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised7
Irreducibility of Stochastic Complex Ginzburg-Landau Equations Driven by Pure Jump Noise and Its Applications6
Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations6
Normality, Controllability and Properness in Optimal Control6
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy6
Long Run Stochastic Control Problems with General Discounting6
Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes6
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions6
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control6
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs6
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators6
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems6
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting6
Entropic Approximation of $$\infty $$-Optimal Transport Problems5
Continuous Time q-Learning for Mean-Field Control Problems5
On Quasi-Stationary Mean Field Games of Controls5
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model5
Shape-Programming in Hyperelasticity Through Differential Growth5
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification5
Sensitivity Analysis of Multi-objective Optimal Control Problems5
Optimality of Vaccination for Prevalence-Constrained SIRS Epidemics5
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds5
A Modified MSA for Stochastic Control Problems5
On the Local Existence of Solutions to the Fluid–Structure Interaction Problem with a Free Interface5
Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains5
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian5
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities5
On the Small-Mass Limit for Stationary Solutions of Stochastic Wave Equations with State Dependent Friction5
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations5
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains5
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary4
Non-Markovian Impulse Control Under Nonlinear Expectation4
On the Weak Stationarity Conditions for Mathematical Programs with Cardinality Constraints: A Unified Approach4
Optimal Distributed Control for a Viscous Non-local Tumour Growth Model4
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress4
Singular Control of the Drift of a Brownian System4
A Nesterov Type Algorithm with Double Tikhonov Regularization: Fast Convergence of the Function Values and Strong Convergence to the Minimal Norm Solution4
Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions4
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization4
Topology Optimization for Steady-State Anisothermal Flow Targeting Solids with Piecewise Constant Thermal Diffusivity4
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations4
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions4
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms4
Almost Sectorial Operators in Fractional Superdiffusion Equations4
The Cost of Null Controllability for a Backward Stochastic Degenerate Parabolic Equation in the Vanishing Viscosity Limit4
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle4
Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space4
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients4
Stability for Locally Coupled Wave-Type Systems with Indirect Mixed-Type Dampings4
Stackelberg Game Approach to Mixed Stochastic $$H_{2}/H_{\infty }$$ Control for Mean-Field Jump-Diffusions Systems4
Low Perturbations and Combined Effects of Critical and Singular Nonlinearities in Kirchhoff Problems4
Fast Continuous Dynamics Inside the Graph of Subdifferentials of Nonsmooth Convex Functions4
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space4
The Stochastic Gierer–Meinhardt System4
Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton–Jacobi–Bellman Equations with Jumps3
Control in Probability for SDE Models of Growth Population3
Discrete-Time Mean-Field Stochastic Control with Partial Observations3
Global Existence and Optimal Estimation of the Cauchy Problem to the 3D Fluid Equations3
Necessary Optimality Conditions for Minimax Multiprocesses3
Mean Field Control and Finite Agent Approximation for Regime-Switching Jump Diffusions3
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid3
On the Relationship Between Viscosity and Distribution Solutions for Nonlinear Neumann Type PDEs: The Probabilistic Approach3
Exact Controllability of the Wave Equation on Graphs3
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
Mixed Noise Removal Framework Using a Nonlinear Fourth-Order PDE-Based Model3
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions3
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach3
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
The Time Optimal Control of Two Dimensional Convective Brinkman–Forchheimer Equations3
Optimal Temperature Distribution for a Nonisothermal Cahn–Hilliard System with Source Term3
The Maximization of the First Eigenvalue for a Two-Phase Material3
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations3
Parameter Estimation of an Epidemic Model with State Constraints3
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions3
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier–Stokes Equations3
Stochastic Optimal Transport with at Most Quadratic Growth Cost3
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System3
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps3
Mean Field Markov Decision Processes3
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process3
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times3
Superfair Stochastic Games3
Convergence of Discrete-Time Deterministic Games to Path-Dependent Isaacs Partial Differential Equations Under Quadratic Growth Conditions3
Correction to: A Primal-Dual Partial Inverse Algorithm for Constrained Monotone Inclusions: Applications to Stochastic Programming and Mean Field Games3
Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity3
Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System3
Online Adjoint Methods for Optimization of PDEs3
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping3
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics3
Generalized $$\varphi $$-Pullback Attractors for Evolution Processes and Application to a Nonautonomous Wave Equation3
Controlling a Nonlinear Fokker–Planck Equation via Inputs with Nonlocal Action3
Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force3
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D3
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