Solvability of linear local and nonlocal Robin problems over \(C (\overline {\varOmega})\)

DOI10.1016/j.jmaa.2011.08.028zbMath1242.35116OpenAlexW2016647890MaRDI QIDQ643570

Alejandro Vélez-Santiago

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.028

zbMATH Keywords

inverse positivityanalytic \(C_{0}\)-semigroupFeller resolventlocal and nonlocal Cauchy problemlocal and nonlocal Robin boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)

Related Items

The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets ⋮ Quasi-linear Venttsel' problems with nonlocal boundary conditions on fractal domains ⋮ Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions ⋮ Generalized nonlocal Robin Laplacian on arbitrary domains ⋮ Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains

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