Remarks on the nonlocal Dirichlet problem

DOI10.1007/s11118-019-09820-9zbMath1456.35059arXiv1807.03676OpenAlexW3005052341MaRDI QIDQ2223708

Tomasz Grzywny, Moritz Kassmann, Łukasz Leżaj

Publication date: 1 February 2021

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03676

zbMATH Keywords

Dirichlet problemLévy processnonlocal operatorinterior \(C^2\) regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) Probabilistic potential theory (60J45) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items (8)

Nonlinear nonlocal Douglas identity ⋮ Nonlocal operators of small order ⋮ Maximum principle for stable operators ⋮ Semilinear Dirichlet problem for subordinate spectral Laplacian ⋮ Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions ⋮ Representation of harmonic functions with respect to subordinate Brownian motion ⋮ Semilinear Dirichlet problem for the fractional Laplacian ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian

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