ON THE QUESTION OF THE UNIQUENESS OF THE SOLUTION OF THE SECOND BOUNDARY VALUE PROBLEM FOR SECOND ORDER ELLIPTIC EQUATIONS

ON THE QUESTION OF THE UNIQUENESS OF THE SOLUTION OF THE SECOND BOUNDARY VALUE PROBLEM FOR SECOND ORDER ELLIPTIC EQUATIONS
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论二阶椭圆方程二阶边值问题解的唯一性问题

DOI:
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发表时间:
1985
期刊:
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通讯作者:
N. Nadirashvili
N. Nadirashvili
中科院分区:
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文献类型:
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作者:
N. Nadirashvili

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给出了研究二阶椭圆型方程各种边值问题的经典解的一般方法:具有非光滑边界的区域上的第二边值问题、退化椭圆型方程的第二边值问题和斜导数问题。证明了经典解的存在唯一性定理。参考书目:15个标题。
A common method is given for investigating.classical solutions of various boundary value problems for second order elliptic equations: the second boundary value problem in domains with nonsmooth boundaries, the second boundary value problem for degenerating elliptic equations, and problems with oblique derivatives. Existence and uniqueness theorems for classical solutions are proved.Bibliography: 15 titles.