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一类退化型Schrodinger方程解的连续性

The Continuity of the Solution for a Class of Degenerate Schrodinger Equations
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摘要 该文通过一种基本的分析方法 ,得到了一类退化型 Schrodinger方程解的连续性结果 ,方程的类型为 :Lu+ vu=( fi) xi,其中 L为一退化椭圆算子 ,v属于某一 Kato类的类比 ,而 fi 属于某一加权 Lp 空间 . The continuity of the solutions of a class of degenerate Schrodinger equation is obtained. The form of the equation is: Lu+vu=(f-i)-{x-i}, where L is a degenerate elliptic operator, v belongs to the analogy of the Kato class, and f-i belongs to some weighted L+p space.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2004年第2期238-245,共8页 Acta Mathematica Scientia
基金 国家自然科学基金 ( 1 9971 0 76) 浙江省教育厅科研项目 ( 2 0 0 2 0 2 48)资助
关键词 退化椭圆算子 很弱解 GREEN函数 Degenerate elliptic operator Very weak solution Green function.
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参考文献10

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