1. On gelation for the Smoluchowski equation
   2025/01/07 by Nicolas Fournier, Fournier, Nicolas · 1 citation
   Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #45K05 #45M99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
2. Existence of Weak Solutions for a Nonlocal Klausmeier Model
   2024/12/18 by Jaramillo, Gabriela, Meraz, Cristian · 1 citation
   #35Q92 #35R09 #45K05 #47G20 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Convergence of the Nonlocal Allen-Cahn Equation to Mean Curvature Flow
   2024/10/11 by Abels, Helmut, Hurm, Christoph, Moser, Maximilian · 1 citation
   #35B10 #35B40 #35K61 #45K05 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Holder regularity for nonlocal in time subdiffusion equations with general kernel
   2024/09/07 by Kubica, Adam, Ryszewska, Katarzyna, Zacher, Rico · 2 citations
   #35B65 #35R09 #45K05 #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Non-local Hamilton-Jacobi-Bellman equations for the stochastic optimal control of path-dependent piecewise deterministic processes
   2024/08/04 by Bandini, Elena, Keller, Christian · 1 citation
   #35D99 #45K05 #49L20 #90C40 #93E20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
6. Neural field equations with time-periodic external inputs and some applications to visual processing
   2024/07/24 by Bolelli, Maria Virginia, Prandi, Dario · 2 citations
   #35B36 #45A05 #45K05 #92C20 #93C20 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Neurons and Cognition (q-bio.NC) #Optimization and Control (math.OC)
7. Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential
   2024/03/16 by Christoph Hurm, Patrik Knopf, Hurm, Christoph +3 · 5 citations
   Computer Science · Mathematics · #35Q30 #45K05 #76D03 #76D05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary: 35Q35. Secondary: 35K55
8. Towards a Schauder theory for fractional viscous Hamilton--Jacobi equations
   2024/03/06 by Jakobsen, Espen R., Rutkowski, Artur · 1 citation
   #35A01 #35A09 #35B65 #35K08 #35K61 #35S10 #45K05 #49L12 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. A mathematical model of the visual MacKay effect
   2023/11/13 by Cyprien Tamekue, Dario Prandi, Tamekue, Cyprien +3 · 2 citations
   Biochemistry, Genetics and Molecular Biology · Neuroscience · #35B36 #45A05 #45K05 #92C20 #93C20 #Advanced Fluorescence Microscopy Techniques #Analysis of PDEs (math.AP) #FOS: Biological sciences #FOS: Mathematics #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Visual perception and processing mechanisms
10. Nonlocal elliptic and parabolic equations with general stable operators in weighted Sobolev spaces
    2023/09/11 by Dong, Hongjie, Ryu, Junhee · 1 citation
    #35A01 #35B65 #35R11 #45K05 #60G52 #Analysis of PDEs (math.AP) #FOS: Mathematics
11. Nonlocal problems with local boundary conditions II: Green's identities and regularity of solutions
    2023/08/09 by Scott, James M., Du, Qiang · 1 citation
    #35J20 #45K05 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Strong Nonlocal-to-Local Convergence of the Cahn-Hilliard Equation and its Operator
    2023/07/05 by Helmut Abels, Abels, Helmut, Christoph Hurm +1 · 4 citations
    Computer Science · Mathematics · #35B40 #35D30 #35K25 #35K55 #45K05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations
13. The master equation for mean field game systems with fractional and nonlocal diffusions
    2023/05/30 by Espen R. Jakobsen, Artur Rutkowski, Jakobsen, Espen Robstad +1 · 2 citations
    Economics, Econometrics and Finance · Mathematics · Medicine · #35A01 #35A08 #35K08 #35K61 #35Q89 #35S10 #45K05 #46E15 #46G05 #49L12 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and financial applications
14. Optimal distributed control for a viscous non-local tumour growth model
    2023/04/18 by Fornoni, Matteo · 2 citations
    #35B65 #35K61 #35Q92 #45K05 #49K20 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
15. Asymptotic profiles for inhomogeneous heat equations with memory
    2023/02/20 by Cortázar, Carmen, Quirós, Fernando, Wolanski, Noemí · 1 citation
    #35B40 #35R11 #45K05 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. Positive harmonically bounded solutions for semi-linear equations
    2022/12/28 by Hansen, Wolfhard, Bogdan, Krzysztof · 1 citation
    #35J61 #35K58 #45K05 #60J35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 31C05 #Probability (math.PR) #Secondary 60J45
17. A domain decomposition scheme for couplings between local and nonlocal equations
    2022/12/12 by Acosta, Gabriel, Bersetche, Francisco M., Rossi, Julio D. · 1 citation
    #35R11 #45K05 #47G20 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
18. Sobolev regularity theory for the non-local elliptic and parabolic equations on C^1,1 open sets
    2022/05/23 by Choi, Jae-Hwan, Kim, Kyeong-Hun, Ryu, Junhee · 1 citation
    #35B65 #35S16 #45K05 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics
19. Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions
    2022/05/07 by Boussange, Victor, Becker, Sebastian, Jentzen, Arnulf +2 · 1 citation
    #35K20 #35R09 (Primary) 65M75 #45K05 #65C05 #65M22 #68T07 (Secondary) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Probability (math.PR)
20. On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature
    2022/01/18 by Escobedo, Miguel · 1 citation
    #45A05 #45K05 #45M05 #82C05 #82C22 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
21. On the linearized system of equations for the condensate-normal fluid interaction at very low temperature
    2021/12/27 by Miguel Escobedo, Escobedo, Miguel · 2 citations
    Mathematics · Physics and Astronomy · #45A05 #45K05 #45M05 #82C05 #82C22 #82C40 #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Quantum, superfluid, helium dynamics
22. Local and nonlocal energy-based coupling models
    2021/07/11 by Acosta, Gabriel, Bersetche, Francisco M., Rossi, Julio D. · 1 citation
    #35R11 #45K05 #47G20 #Analysis of PDEs (math.AP) #FOS: Mathematics
23. Convergence Analysis and Numerical Studies for Linearly Elastic Peridynamics with Dirichlet-Type Boundary Conditions
    2021/06/25 by Foss, Mikil, Radu, Petronela, Yu, Yue · 1 citation
    #45A05 #45K05 #47G10 #74B15 #74G65 #74H15 #Analysis of PDEs (math.AP) #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #G.1.9 #J.2 #Numerical Analysis (math.NA) #and Science (cs.CE)
24. Asymptotics of the s-fractional Gaussian perimeter as s→ 0⁺
    2021/06/10 by Carbotti, Alessandro, Cito, Simone, La Manna, Domenico Angelo +1 · 1 citation
    #35R11 #45K05 #49Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
25. On Numerical approximations of fractional and nonlocal Mean Field Games
    2021/04/30 by Chowdhury, Indranil, Ersland, Olav, Jakobsen, Espen R. · 2 citations
    #35K61 #35Q84 #35Q89 #35R06 #35R11 #45K05 #47G20 #49L12 #65M12 #65M22 #91A16 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
26. Highly efficient and energy dissipative schemes for the time fractional Allen-Cahn equation
    2021/04/25 by Hou, Dianming, Xu, Chuanju · 1 citation
    #41A05 #41A10 #41A25 #45K05 #65M70 #65N35 #FOS: Mathematics #Numerical Analysis (math.NA)
27. Bounded weak solutions of time-fractional porous medium type and more\n general nonlinear and degenerate evolutionary integro-differential equations
    2020/08/25 by Petra Wittbold, Wittbold, Petra, Patryk Wolejko +3 · 4 citations
    Computer Science · Engineering · Mathematics · #35R11 #45K05 #47G20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Stability and Controllability of Differential Equations
28. Adaptation in general temporally changing environments
    2020/02/21 by Roques, Lionel, Patout, Florian, Bonnefon, Olivier +1 · 1 citation
    #35C05 #35K15 #45K05 #92D15 #Analysis of PDEs (math.AP) #FOS: Mathematics
29. Random walks on dense graphs and graphons
    2019/09/25 by Petit, Julien, Lambiotte, Renaud, Carletti, Timoteo · 1 citation
    #05C81 #34G10 #45K05 #47D06 #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)
30. Coupling Levy measures and comparison principles for viscosity solutions
    2018/05/17 by Guillen, Nestor, Mou, Chenchen, Swiech, Andrzej · 1 citation
    #35D40 35J60 #35R09 #45K05 #47G20 #Analysis of PDEs (math.AP) #FOS: Mathematics

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