The Malgrange-Ehrenpreis theorem for nonlocal Schrödinger operators with certain potentials

DOI10.3934/CPAA.2018095OpenAlexW2562552047MaRDI QIDQ1660035

Woocheol Choi, Yong-Cheol Kim

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07143

zbMATH Keywords

potentialfundamental solutionnonlocal Schrödinger operators

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Integro-differential operators (47G20)

Related Items (5)

Hölder continuity of weak solutions to nonlocal Schrödinger equations with \(A_1\)-Muckenhoupt potentials ⋮ Nonlocal Harnack inequalities for nonlocal \(p\)-Laplacian type Schrödinger operators with \(A^p_1\)-Muckenhoupt potentials ⋮ Nonlocal Harnack inequalities for nonlocal Schrödinger operators with \(A_1\)-Muckenhoupt potentials ⋮ \(L^p\) mapping properties for nonlocal Schrödinger operators with certain potentials ⋮ Nonlocal Harnack inequalities for nonlocal heat equations

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