Perron's method for nonlocal fully nonlinear equations
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Publication:2362327
DOI10.2140/apde.2017.10.1227zbMath1370.35083arXiv1610.03426OpenAlexW3101584156MaRDI QIDQ2362327
Publication date: 7 July 2017
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.03426
Differential games and control (49N70) Integro-partial differential equations (45K05) Nonlinear elliptic equations (35J60) Integro-differential operators (47G20) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09)
Related Items (15)
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Cites Work
- Unnamed Item
- Schauder estimates for solutions of linear parabolic integro-differential equations
- Regularity for parabolic integro-differential equations with very irregular kernels
- Boundary regularity for fully nonlinear integro-differential equations
- Schauder estimates for nonlocal fully nonlinear equations
- A new regularization mechanism for the Boltzmann equation without cut-off
- \(C^{\sigma,\alpha}\) estimates for concave, non-local parabolic equations with critical drift
- Integro-PDE in Hilbert spaces: existence of viscosity solutions
- Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
- On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion
- The Evans-Krylov theorem for nonlocal fully nonlinear equations
- Stochastic representation for solutions of Isaacs' type integral-partial differential equations
- Viscosity solutions for a system of integro-PDEs and connections to optimal switching and control of jump-diffusion processes
- Regularity results for nonlocal equations by approximation
- Uniqueness of viscosity solutions for a class of integro-differential equations
- Perron's method for Hamilton-Jacobi equations
- Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
- Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
- Viscosity solutions of nonlinear integro-differential equations
- Optimal control problem associated with jump processes
- Schauder estimates for a class of non-local elliptic equations
- Regularity for solutions of nonlocal parabolic equations. II
- Feynman-Kac representation for Hamilton-Jacobi-Bellman IPDE
- A ``maximum principle for semicontinuous functions applicable to integro-partial differential equations
- Hölder estimates for non-local parabolic equations with critical drift
- Regularity for solutions of non local parabolic equations
- Integro-Differential equations with nonlinear directional dependence
- Semiconcavity of viscosity solutions for a class of degenerate elliptic integro-differential equations in $\\mathbb R^n$
- Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations
- Backward stochastic differential equations and integral-partial differential equations
- On Zero-Sum Stochastic Differential Games with Jump-Diffusion Driven State: A Viscosity Solution Framework
- Regularity theory for fully nonlinear integro-differential equations
- Optimal Control with State-Space Constraint. II
- On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
- User’s guide to viscosity solutions of second order partial differential equations
- Representation formulas for solutions of Isaacs integro-PDE
- On the Dirichlet problem for second-order elliptic integro-differential equations
- Holder estimates for solutions of integro differential equations like the fractional laplace
- C1, αInterior Regularity for Nonlinear Nonlocal Elliptic Equations with Rough Kernels
- \(C^{\sigma +\alpha}\) regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels
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