Gelfand–Shilov regularity of SG boundary value problems

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• 作者：Pedro T. P. Lopes
• 关键词：Pseudo ; differential operators ; Elliptic boundary value problems
• 刊名：Journal of Pseudo-Differential Operators and Applications
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：8
• 期：1
• 页码：55-81
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Analysis; Operator Theory; Partial Differential Equations; Functional Analysis; Applications of Mathematics; Algebra;
• 出版者：Springer International Publishing
• ISSN：1662-999X
• 卷排序：8

文摘

We show that the solutions of SG elliptic boundary value problems defined on the complement of compact sets or on the half-space have some regularity in Gelfand–Shilov spaces. The results are obtained using classical results about Gevrey regularity of elliptic boundary value problems and Calderón projectors techniques adapted to the SG case. Recent developments about Gelfand–Shilov regularity of SG pseudo-differential operators on \(\mathbb {R}^{n}\) appear in an essential way.