Hölder-continuity of solutions for some Schrödinger equations

zbMath0674.35017MaRDI QIDQ1121440

Giuseppe Di Fazio

Publication date: 1988

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1988__79__173_0

zbMATH Keywords

potentialSchrödinger equationMorrey spaceLocal Hölder- continuity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

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• Wiener criteria and energy decay for relaxed Dirichlet problems
• Linear and quasilinear elliptic equations
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• Brownian motion and harnack inequality for Schrödinger operators
• Potential theory for the Schrödinger equation