OOIR: Observatory of International Research

Papers

(The TQCC of Applied Mathematics and Optimization is 4. 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 2022-01-01 to 2026-01-01.)

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	40
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	32
On the Improvement of the Barzilai–Borwein Step Size in Variance Reduction Methods	24
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	22
Analysis of Subdifferentials of Marginal and Performance Functions	21
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	19
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	18
On a Chemotaxis-Generalized Navier–Stokes System with Rotational Flux: Global Classical Solutions and Stabilization	17
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
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	15
Topological Derivative Method for Design and Control of Timoshenko Beam Networks	15
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	14
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times	14
Multi-parameter Robustness of Random Attractors for Non-autonomous Stochastic Lamé Systems	14
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	14
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	14
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	13
Pontryagin’s Principle for Some Probabilistic Control Problems	12
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	11
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	11
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	10
Stochastic Optimal Switching Problem with Non Signed Switching Payments	10
Well-Posedness and Asymptotic Analysis of Wave Equation with Nonlocal Boundary Damping	10
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	9

Statistical Arbitrage for Multiple Co-integrated Stocks	9
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	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	8
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	8
Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies	8
Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	8
Inexact Catching-Up Algorithm for Moreau’s Sweeping Processes	8
Instability and Stability Analysis of Three-Dimensional Nonhomogeneous Incompressible Viscous Flows with Navier-Slip Boundary Conditions	8
Optimal Investment with a Noisy Signal of Future Stock Prices	8
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	8
Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity	8
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	8
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	8
Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential	8
Entropic Mean-Field Min–Max Problems via Best Response Flow	8
Machine Learning Architectures for Price Formation Models	7
Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes	7
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	7
Asymptotics of Impulse Control Problem with Multiplicative Reward	7
Semidiscrete Shocks for the Full Velocity Difference Model	7
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	7
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	7
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	7
Publisher Correction: Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	7
Optimal Control for Optical Solitons in Nematic Liquid Crystals	7
Exact Controllability of Hemivariational Inequalities in Banach spaces	7
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients	7
Singleton Sets Random Attractors for Lattice Dynamical Systems Driven by a Fractional Brownian Motion Revisited	7
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	7
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	7
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	6
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	6
Zero-Sum Non-stationary Stochastic Games with the Long-Run Average Criterion	6
Parameter Sensitivity Analysis for Mean Field Games of Production	6
Numerical Shape Optimization Among Convex Sets	6
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	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
Large Deviations For Synchronized System	6
Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	6
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	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
Segmentation in Measure Spaces	6
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	6
Projective Splitting as a Warped Proximal Algorithm	5
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics	5
Moderate Deviations for Two-Time Scale Systems with Mixed Fractional Brownian Motion	5
A New Result for Boundedness in a Quasilinear Two-Species Chemotaxis System with Two Chemicals	5

Shape-Programming in Hyperelasticity Through Differential Growth	5
Asymptotic Behavior of Rao–Nakra Sandwich Beam with Nonlinear Localized Damping and Source Terms	5
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	5
Null Controllability for a Degenerate Population Equation with Memory	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
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	5
A Selection Procedure for Extracting the Unique Feller Weak Solution of Degenerate Diffusions	5
A Class of Multivalued Quasi-Variational Inequalities with Applications	5
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	5
Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	5
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	5
Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems	5
A Double Phase Problem Involving Hardy Potentials	5
Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces	5
On the Structure of Optimal Transportation Plans between Discrete Measures	5
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	5
Carleman Estimate for Semi-discrete Stochastic Parabolic Operators in Arbitrary Dimension and Applications to Controllability	5
Orlicz Space Regularization of Continuous Optimal Transport Problems	5
Optimal Control Problem of Evolution Equation Governed by Hypergraph Laplacian	5
Limiting Behavior of Invariant Measures for Stochastic Quasilinear Parabolic Equations with Nonlinear Noise on Thin Domains	5
A Hierarchical Control Problem for the Benney–Lin Equation Using Stackelberg–Nash Strategy	5
Adjoint-Based Calibration of Nonlinear Stochastic Differential Equations	5
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	5
A Second Order Primal–Dual Dynamical System for a Convex–Concave Bilinear Saddle Point Problem	5
Mean-Field Games of Optimal Stopping: Master Equation and Weak Equilibria	5
Maximum Principles for Conditional Mean Field Type Control Problems Under Partial and Full Observation with Applications	4
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	4
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	4
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	4
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	4
The Maximization of the First Eigenvalue for a Two-Phase Material	4
Continuous Time q-Learning for Mean-Field Control Problems	4
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	4
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	4
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	4
Control in Probability for SDE Models of Growth Population	4
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	4
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	4
MF-OML: Online Mean-Field Reinforcement Learning with Occupation Measures for Large Population Games	4
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	4
Online Adjoint Methods for Optimization of PDEs	4
Martingale Solutions of the Stochastic Electroconvection Equations on $${\mathbb {R}}^2$$ with Multiplicative Noise	4
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	4
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	4
Regularization and Two Time Scales for Convergence of Reinforcement Learning	4
Long Run Stochastic Control Problems with General Discounting	4
Finite-Time Blowup in a Parabolic-Parabolic-Elliptic Chemotaxis Model Involving Indirect Signal Production	4
Entire Solutions of Stochastic Unbounded Delay Evolution Variational Inequalities Driven by Tempered Fractional Noise with an Exponential Dichotomy	4
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	4
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	4
Constrained Discounted Stochastic Games	4
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	4
Analysis of an Optimal Control Problem for the Navier–Stokes System with Tresca Boundary Conditions	4
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	4
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	4
A Posteriori Error Estimates for a Bang–Bang Optimal Control Problem	4
The Stochastic Gierer–Meinhardt System	4
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	4
Fitted Value Iteration Methods for Bicausal Optimal Transport	4
Exact Controllability of the Wave Equation on Graphs	4
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	4