Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations

Héctor A. Chang-Lara; Dennis Kriventsov

doi:10.1002/cpa.21671

Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations

Héctor A. Chang-Lara, Dennis Kriventsov

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We establish Hölder estimates for the time derivative of solutions of nonlocal parabolic equations under mild assumptions for the boundary data. As a consequence we are able to extend the Evans-Krylov estimate for rough kernels to parabolic equations.

Original language	English (US)
Pages (from-to)	950-977
Number of pages	28
Journal	Communications on Pure and Applied Mathematics
Volume	70
Issue number	5
DOIs	https://doi.org/10.1002/cpa.21671
State	Published - May 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations",

abstract = "We establish H{\"o}lder estimates for the time derivative of solutions of nonlocal parabolic equations under mild assumptions for the boundary data. As a consequence we are able to extend the Evans-Krylov estimate for rough kernels to parabolic equations.",

author = "Chang-Lara, {H{\'e}ctor A.} and Dennis Kriventsov",

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AB - We establish Hölder estimates for the time derivative of solutions of nonlocal parabolic equations under mild assumptions for the boundary data. As a consequence we are able to extend the Evans-Krylov estimate for rough kernels to parabolic equations.

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JO - Communications on Pure and Applied Mathematics

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Further Time Regularity for Nonlocal, Fully Nonlinear Parabolic Equations

Abstract

All Science Journal Classification (ASJC) codes

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