Hölder-continuity of solutions for some Schrödinger equations (Q1121440)
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scientific article; zbMATH DE number 4103563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hölder-continuity of solutions for some Schrödinger equations |
scientific article; zbMATH DE number 4103563 |
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Hölder-continuity of solutions for some Schrödinger equations (English)
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1988
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A Schrödinger equation of the form \[ Lu\equiv -(a_{ij}u_{x_ i})_{x_ j}=Vu,\quad i,j=1,...,n, \] where the potential V belongs to the Morrey space \(L^{1,\lambda}(\Omega)\) \((\lambda >n-2)\) is investigated. Local Hölder-continuity of the solutions is proved.
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Schrödinger equation
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potential
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Morrey space
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Local Hölder- continuity
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