关于Lipschitz区域上Schrdinger方程的不连续边界值问题

On the Non-continue Data Boundary Value Problems for Schrdinger Equation in Lipschitz Domains

讨论Lipschitz区域上Schr dinger方程的不连续边界值问题及其研究进展 ,给出Lp(p >1)边值问题和Hp(p <1)边值问题的位势理论 .同时指出Besov Sobolev边值、Orlicz边值等需要进一步研究的问题 .

The non-continue data boundary value problems for Schrodinger equation in Lipschitz domains and its progress are discussed. Particularly, the L p boundary value problems with some p>1, and H p boundary value problems with some p<1 are studied; And some open problem about Besov-Sobolev and Orlicz boundary value problems are also been given.