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Noncontinuous data boundary value problems for Schrödinger equation in Lipschitz domains
Authors:Xiangxing Tao
Affiliation:(1) Department of Mathematics, Faculty of Science, Nigbo University, Ningbo, 315211, China
Abstract:The noncontinuous data boundary value problems for Schrödinger equations in Lipschitz domains and its progress are pointed out in this paper. Particularly, the L p boundary value problems with p > 1, and H p boundary value problems with p < 1 have been studied. Some open problems about the Besov-Sobolev and Orlicz boundary value problems are given.
Keywords:Lipschitz domain  Schr?dinger equation  noncontinuous data boundary value problem  potential theory
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