一类薛定谔方程解的高阶可积性

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英文篇名：Higher integrability for the solution to a class of Schrodinger euqations 作者：朱茂春 英文作者：ZHU Mao-chun(Department of Applied Mathematics,Northwestern Polytechnical University,Xi′an 710129,Chain) 关键词：薛定谔方程 ; Lp高阶可积性 ; 反向Hlder性质 ; 靴套技术 英文关键词：Schrodinger-type equation;higher integrability;reverse Hlder condition;bootstrapping techniques 中文刊名：FGJK 英文刊名：Basic Sciences Journal of Textile Universities 机构：西北工业大学应用数学系; 出版日期：2013-06-30 出版单位：纺织高校基础科学学报 年：2013 期：v.26;No.100 基金：国家自然科学基金资助项目(11271299,11001221);; 西北工业大学基础研究基金探索项目资助(JC201124) 语种：中文; 页：FGJK201302022 页数：3 CN：02 ISSN：61-1296/TS 分类号：90-92

摘要

考虑了一类非散度型具有VMO系数的椭圆型薛定谔方程.在位势项仅满足某种反向Hlder性质的条件下,利用靴套技术得到了该类方程强解的Lp高阶可积性,从而关于椭圆方程的一个经典Lp正则性结论可以被推广至具有VMO系数的椭圆型薛定谔方程情形.
        In this article,a class of Schrodinger euqations is considered.Under the assumptions that potential V satisfying an appropriate reverse Hlder condition and the coefficients are belong to VMO class,a Lp higher integrability result for Schrodinger euqations is obtained by using bootstrapping techniques and then the classic Lp regularity result for elliptic equations is extended to the case of Schrodinger euqations.

引文

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