Local properties for weak solutions of nonlocal heat equations

DOI10.1016/j.na.2019.111689zbMath1439.35183OpenAlexW2988038400MaRDI QIDQ1985808

Yong-Cheol Kim

Publication date: 7 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111689

zbMATH Keywords

weak solutionsintegro-differential operatorsDe Giorgi-Nash-Moser theorynonlocal heat equationsinterior parabolic Hölder regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) Heat equation (35K05) Weak solutions to PDEs (35D30)

Related Items

Hölder continuity of weak solutions to nonlocal Schrödinger equations with \(A_1\)-Muckenhoupt potentials ⋮ Hölder regularity for parabolic fractional \(p\)-Laplacian ⋮ A Hölder estimate with an optimal tail for nonlocal parabolic \(p\)-Laplace equations ⋮ Nonlocal Harnack inequalities for nonlocal Schrödinger operators with \(A_1\)-Muckenhoupt potentials

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