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Zbl 0674.35017
Di Fazio, Giuseppe
Hölder-continuity of solutions for some Schrödinger equations. (English)
[J] Rend. Semin. Mat. Univ. Padova 79, 173-183 (1988). ISSN 0041-8994

A Schrödinger equation of the form $$ Lu\equiv -(a\sb{ij}u\sb{x\sb i})\sb{x\sb j}=Vu,\quad i,j=1,...,n, $$ where the potential V belongs to the Morrey space $L\sp{1,\lambda}(\Omega)$ $(\lambda >n-2)$ is investigated. Local Hölder-continuity of the solutions is proved.
[G.Derfel]

MSC 2000:: *35J10 Schroedinger operator
35B65 Smoothness of solutions of PDE
46E30 Spaces of measurable functions

Keywords: Schrödinger equation; potential; Morrey space; Local Hölder- continuity

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