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  1. Learning algorithms for mean field optimal control
    2025/03/22 by Soner, H. Mete, Teichmann, Josef, Yan, Qinxin · 2 citations
    #35D40 #35Q89 #49L25 #60G99 #FOS: Mathematics #Optimization and Control (math.OC)
  2. Time derivative estimates for parabolic p-Laplace equations and applications to optimal regularity
    2025/03/06 by Se-Chan Lee, Yuanyuan Lian, Lee, Se-Chan +5 · 2 citations
    Mathematics · #35B65 #35D40 #35K65 #35K92 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
  3. Lipschitz Continuity Results for Minimax Solutions of Path-Dependent Hamilton--Jacobi Equations
    2024/12/23 by M. I. Gomoyunov, Gomoyunov, Mikhail I. · 1 citation
    Mathematics · Physics and Astronomy · #35D40 #35F21 #49L25 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Optimization and Control (math.OC) #Quantum chaos and dynamical systems
  4. Interior W2,δ type estimates for degenerate fully nonlinear elliptic equations with Ln data
    2024/11/05 by Sun‐Sig Byun, Byun, Sun-Sig, Hongsoo Kim +3 · 5 citations
    Computer Science · Mathematics · #35B65 #35D40 #35J60 #35J70 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Weak-Strong Uniqueness Principle for Hamilton-Jacobi Equations
    2024/10/01 by Issa, Victor · 1 citation
    #35D30 #35D40 #35F21 #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Finite Dimensional Projections of HJB Equations in the Wasserstein Space
    2024/08/14 by Andrzej Święch, Lukas Wessels, Święch, Andrzej +1 · 1 citation
    Mathematics · #28A33 #35D40 #35R15 #49L12 #49L25 #49N80 #93E20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
  7. C1,α regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on C1 domains
    2024/07/01 by Byun, Sun-Sig, Kim, Hongsoo, Oh, Jehan · 1 citation
    #35B65 #35D40 #35J25 #35J60 #35J70 #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. Pointwise regularity for locally uniformly elliptic equations and applications
    2024/05/12 by Yuanyuan Lian, Kai Zhang, Lian, Yuanyuan +1 · 2 citations
    Computer Science · Engineering · Mathematics · #35B65 #35D40 #35J60 #35J93 #35J96 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations
  9. Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions
    2024/04/17 by Russell W. Schwab, Son N. T. Tu, Schwab, Russell +3 · 2 citations
    Computer Science · Mathematics · #35B51 #35D35 #35D40 #35Q35 #35R09 #35R35 #45K05 #47G20 #49L25 #76B03 #76D27 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
  10. On the regularity of stochastic effective Hamiltonian
    2023/12/25 by Son N. T. Tu, Jianlu Zhang, Tu, Son +1 · 2 citations
    Economics, Econometrics and Finance · Mathematics · #35D40 #35J60 #37J40 #37K99 #49L25 #70H20 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
  11. Hamilton-Jacobi equations in metric spaces
    2023/08/15 by Qing Liu, Xiaodan Zhou, Liu, Qing +1 · 1 citation
    Computer Science · Mathematics · #35D40 #35F30 #35R15 #49L25 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis
  12. Discontinuous eikonal equations in metric measure spaces
    2023/08/14 by Liu, Qing, Shanmugalingam, Nageswari, Zhou, Xiaodan · 1 citation
    #35D40 #35F30 #35R15 #49L25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Metric Geometry (math.MG)
  13. Viscosity Solutions of the Eikonal Equation on the Wasserstein Space
    2023/08/08 by Soner, H. Mete, Yan, Qinxin · 4 citations
    #35D40 #35Q89 #49L12 #49L25 #60G99 #FOS: Mathematics #Optimization and Control (math.OC)
  14. Boundary Regularity for viscosity solutions of Fully nonlinear degenerate/singular parabolic equations
    2023/05/24 by Lee, Ki-Ahm, Yun, Hyungsung · 2 citations
    #35B51 #35B65 #35D40 #35K55 #35K65 #35K67 #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. Partial mass concentration for fast-diffusions with non-local aggregation terms
    2023/04/10 by José A. Carrillo, A. Fernández-Jiménez, Carrillo, José A. +3 · 3 citations
    Mathematics · Medicine · #35B40 #35D40 #35K55 #35K65 #35Q84 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #advanced mathematical theories
  16. Sharp regularity for a singular fully nonlinear parabolic free boundary problem
    2023/03/25 by Araújo, Damião J., Sá, Ginaldo S., Urbano, José Miguel · 1 citation
    #35B65 #35D40 #35K67 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
  17. A primer on semiconvex functions in general potential theories
    2023/03/25 by Kevin R. Payne, Payne, Kevin R., Davide Francesco Redaelli +1 · 2 citations
    Mathematics · #26B05 #26B25 #31-01 #31C35 #35B51 #35D40 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
  18. Minimal solutions of master equations for extended mean field games
    2023/03/01 by Mou, Chenchen, Zhang, Jianfeng · 1 citation
    #35D40 #35Q89 #49N80 #60H30 #91A16 #93E20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
  19. Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy
    2023/02/01 by Pêdra D. S. Andrade, Disson S. dos Prazeres, Andrade, Pêdra D. S. +3 · 1 citation
    Mathematics · #35B65 #35D40 #35R09 #35R11 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations
  20. Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations
    2022/09/30 by Baasandorj, Sumiya, Byun, Sun-Sig, Lee, Ki-Ahm +1 · 4 citations
    #35B65 #35D40 #35J60 #35J70 #Analysis of PDEs (math.AP) #FOS: Mathematics
  21. Large data limit of the MBO scheme for data clustering: convergence of the dynamics
    2022/09/13 by Tim Laux, Jona Lelmi, Laux, Tim +1 · 3 citations
    Computer Science · Mathematics · Physics and Astronomy · #35D40 #Analysis of PDEs (math.AP) #Bayesian Methods and Mixture Models #FOS: Mathematics #Numerical Analysis (math.NA) #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
  22. C1-regularity for degenerate diffusion equations
    2022/08/23 by Pêdra Andrade, Andrade, Pêdra, Daniel Pellegrino +5 · 5 citations
    Computer Science · Engineering · Mathematics · #35B65 #35D40 #35J70 #37J60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations
  23. Hamilton-Jacobi equations with monotone nonlinearities on convex cones
    2022/06/25 by Hongbin Chen, Jiaming Xia, Chen, Hong-Bin +1 · 1 citation
    Computer Science · Mathematics · #35A01 #35A02 #35D40 #35F21 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Optimization and Variational Analysis
  24. Operator semigroups in the mixed topology and the infinitesimal description of Markov processes
    2022/04/15 by Beniamin Gołdys, Max Nendel, Goldys, Ben +3 · 2 citations
    Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #35D40 #47D06 #47H20 #47J35 #60H10 #60H15 #60J25 #60J35 #Advanced Banach Space Theory #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Stochastic processes and financial applications
  25. A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications
    2021/08/18 by Thuy T. Le, Le, Thuy T., Loc H. Nguyen +3 · 2 citations
    Engineering · Mathematics · #35D40 #35F30 #35J62 #35N25 #65N12 #78A46 #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Numerical methods in inverse problems
  26. Ergodic problems for contact Hamilton-Jacobi equations
    2021/07/24 by Wang, Kaizhi, Yan, Jun · 2 citations
    #35D40 #35F21 #37J51 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
  27. Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations
    2021/07/21 by Yuxi Han, Son N. T. Tu, Han, Yuxi +1 · 4 citations
    Economics, Econometrics and Finance · Mathematics · #35B40 #35D40 #49J20 #49L25 #70H20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Biology Tumor Growth #Stochastic processes and financial applications
  28. A comparison principle for parabolic complex Monge-Ampère equations
    2021/06/07 by Do, Hoang-Son, Pham, Thanh Cong Ngoc · 1 citation
    #32U15 #32W20 #35D40 #35K10 #Complex Variables (math.CV) #FOS: Mathematics
  29. On fully nonlinear parabolic mean field games with nonlocal and local diffusions
    2021/04/14 by Chowdhury, Indranil, Jakobsen, Espen R., Krupski, Miłosz · 2 citations
    #35A01 #35A02 #35D30 #35D40 #35K55 #35K65 #35Q84 #35Q89 #35R11 #47D07 #49L #49N80 #60G51 #Analysis of PDEs (math.AP) #FOS: Mathematics
  30. Selection and mutation in a shifting and fluctuating environment
    2021/03/12 by Iglesias, Susely Figueroa, Mirrahimi, Sepideh · 1 citation
    #35A02 #35B10 #35C20 #35D40 #35P15 #92D15 #Analysis of PDEs (math.AP) #FOS: Mathematics

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