Neumann problem and one oblique-derivative problem for an improperly elliptic equation

被引：0

作者：

V. P. Burskii

E. V. Lesina

机构：

[1] Ukrainian National Academy of Sciences,Institute of Applied Mathematics and Mechanics

来源：

Ukrainian Mathematical Journal | 2012年 / 64卷

关键词：

Elliptic Equation; Unit Disk; Dirichlet Problem; Neumann Problem; Pseudodifferential Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the problem of solvability of an inhomogeneous Neumann problem and an oblique-derivative problem for an improperly elliptic scalar differential equation with complex coefficients in a bounded domain. A model case in which the domain is a unit disk and the equation does not contain lower-order terms is investigated. It is shown that the classes of boundary data for which these problems are uniquely solvable in a Sobolev space are formed by the spaces of functions with exponentially decreasing Fourier coefficients.

引用

页码：511 / 524

页数：13

共 11 条

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