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Hölder-continuity of solutions for some Schrödinger equations. (English) Zbl 0674.35017

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.
Reviewer: G.Derfel

MSC:

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

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