Nonharmonic Analysis of Boundary Value Problems
Nonharmonic Analysis of Boundary Value Problems
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边值问题的非调和分析
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
N. Tokmagambetov
中科院分区：
文献类型：
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作者：
Michael Ruzhansky;N. Tokmagambetov
在本文中，我们开发了由给定（不一定是自伴或椭圆）微分算子的边值问题生成的伪微分算子的全局符号演算。为此，我们还建立了非自伴随分布理论的要素和相应的双正交傅里叶分析。不存在对允许具有任意奇点的边界规则性的假设。我们给出了所开发的分析的应用，以获得构造微积分中椭圆形边值问题的解的先验估计。
In this paper, we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator. For this, we also establish elements of a non-self-adjoint distribution theory and the corresponding biorthogonal Fourier analysis. There are no assumptions on the regularity of the boundary which is allowed to have arbitrary singularities. We give applications of the developed analysis to obtain a priori estimates for solutions of boundary value problems that are elliptic within the constructed calculus.
影响因子：
2.4
作者：
Claudia Garetto;Michael Ruzhansky
通讯作者：
Claudia Garetto;Michael Ruzhansky