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An \(L^ p\) theory for Schrödinger operators with nonnegative potentials. (English) Zbl 0556.35032
The author studies Schrödinger operators with nonnegative potentials \(V\in L^ P_{loc}({\mathbb{R}}^ m)\). His main purpose is to give sufficient conditions for the m-accretivity of the considered operators. Under further assumptions on the potential he gives regularity results for the solutions of the corresponding Schrödinger equation and a compactness result for the resolvent.
Reviewer: N.Jacob

MSC:
35J10 Schrödinger operator, Schrödinger equation
35Q99 Partial differential equations of mathematical physics and other areas of application
47B44 Linear accretive operators, dissipative operators, etc.
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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