Fully nonlinear integro-differential equations with deforming kernels
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Publication:5131837
DOI10.1080/03605302.2020.1739706zbMath1452.35055arXiv1809.06821OpenAlexW3011616842MaRDI QIDQ5131837
Rafayel Teymurazyan, José Miguel Urbano, Luis A. Caffarelli
Publication date: 9 November 2020
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.06821
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Integro-differential operators (47G20) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09) Monge-Ampère equations (35J96)
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Cites Work
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- Regularity for parabolic integro-differential equations with very irregular kernels
- Regularity for anisotropic fully nonlinear integro-differential equations
- The Monge-Ampère equation and its applications
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- Balls and quasi-metrics: A space of homogeneous type modeling the real analysis related to the Monge-Ampère equation
- Harnack inequalities for jump processes
- Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation
- Properties of the solutions of the linearized Monge-Ampere equation
- Regularity theory for fully nonlinear integro-differential equations
- On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
- Some regularity properties of solutions of Monge Ampère equation
- Geometric properties of the sections of solutions to the Monge-Ampère equation
- Real analysis related to the Monge-Ampère equation
- Holder estimates for solutions of integro differential equations like the fractional laplace
- The Monge-Ampère equation
- Applied stochastic control of jump diffusions
