OOIR: Observatory of International Research

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 2021-05-01 to 2025-05-01.)

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	31
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	22
Porous-elastic Plates: Fourier Versus Type III	21
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	21
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian	21
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	20
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	17
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	16
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	15
Analysis of Subdifferentials of Marginal and Performance Functions	14
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	13
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	13
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	13
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	13
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	13
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	12
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	12
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	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	11
Correction to: Stochastic Maximum Principle Under Probability Distortion	10
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	10
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	10
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	9
Pontryagin’s Principle for Some Probabilistic Control Problems	9

Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	8
Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes	8
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients	8
Entropic Mean-Field Min–Max Problems via Best Response Flow	8
Determination of Singular Control in the Optimal Management of Natural Resources	8
Machine Learning Architectures for Price Formation Models	8
Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity	8
Statistical Arbitrage for Multiple Co-integrated Stocks	8
Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	8
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	8
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	7
Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies	7
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	7
Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach	7
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	7
Optimal Investment with a Noisy Signal of Future Stock Prices	7
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	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
Semidiscrete Shocks for the Full Velocity Difference Model	7
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	6
Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality	6
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	6
Asymptotics of Impulse Control Problem with Multiplicative Reward	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
A Non Linear Optimal Control Problem Related to a Road De-icing Device: Analysis and Numerical Experiments	6
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	6
Optimal Control for Optical Solitons in Nematic Liquid Crystals	6
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	6
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	6
Numerical Shape Optimization Among Convex Sets	6
Publisher Correction: Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	6
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	6
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	5
Moderate Deviations for Two-Time Scale Systems with Mixed Fractional Brownian Motion	5
Zero-Sum Non-stationary Stochastic Games with the Long-Run Average Criterion	5
Segmentation in Measure Spaces	5
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics	5
Large Deviations For Synchronized System	5
Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	5
Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	5
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	5
Existence and Non-existence of Global Solutions for a Nonlocal Choquard–Kirchhoff Diffusion Equations in $$\mathbb {R}^{N}$$	5
Orlicz Space Regularization of Continuous Optimal Transport Problems	5
A Class of Multivalued Quasi-Variational Inequalities with Applications	5
Parameter Sensitivity Analysis for Mean Field Games of Production	5
Adjoint-Based Calibration of Nonlinear Stochastic Differential Equations	5
Optimal Control of Stochastic Differential Equations via Fokker–Planck Equations	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
Exploiting Characteristics in Stationary Action Problems	4
Shape-Programming in Hyperelasticity Through Differential Growth	4
Null Controllability for a Degenerate Population Equation with Memory	4
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	4
Linear Quadratic Mean Field Social Optimization: Asymptotic Solvability and Decentralized Control	4
Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems	4
Strong Averaging Principle for Two-Time-Scale Stochastic McKean-Vlasov Equations	4
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	4
Continuous Time q-Learning for Mean-Field Control Problems	4
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	4
On the Structure of Optimal Transportation Plans between Discrete Measures	4
The Stochastic Gierer–Meinhardt System	4
A Selection Procedure for Extracting the Unique Feller Weak Solution of Degenerate Diffusions	4
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	4
A Double Phase Problem Involving Hardy Potentials	4
Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	4
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	4
Long Run Stochastic Control Problems with General Discounting	4
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	4
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	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
Projective Splitting as a Warped Proximal Algorithm	4
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	4
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	4
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	4
Theory of Solutions for an Inextensible Cantilever	4
Asymptotic Behavior of Rao–Nakra Sandwich Beam with Nonlinear Localized Damping and Source Terms	4
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	4
Exact Controllability of the Wave Equation on Graphs	4
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	3
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	3
Online Adjoint Methods for Optimization of PDEs	3
Convergence of Non-autonomous Attractors for Subquintic Weakly Damped Wave Equation	3
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	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
Constraint Qualification with Schauder Basis for Infinite Programming Problems	3
Information Projection on Banach Spaces with Applications to State Independent KL-Weighted Optimal Control	3
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	3
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	3
Multilevel Selective Harmonic Modulation via Optimal Control	3
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	3
Control in Probability for SDE Models of Growth Population	3
The Maximization of the First Eigenvalue for a Two-Phase Material	3
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	3
Constrained Discounted Stochastic Games	3
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	3
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	3
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	3
Suitable Spaces for Shape Optimization	3
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	3
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	3
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	3
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	3
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
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	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
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
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI	3
Teamwise Mean Field Competitions	3
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	3