Natural domains for edge-degenerate differential operators

2010/06/01 by Jörg Seiler, Seiler, Jörg · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Material Properties and Failure Mechanisms

paper · pdf · doi:10.48550/arxiv.1006.0039

openalex publication_date 2010/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study cone differential operators on the half-axis and edge-degenerate differential operators on a half-space. We construct subspaces of edge Sobolev spaces that can be considered as natural domains for edge-degenerate operators and indicate how they can be used in the study of boundary problems for edge-degenerate operators.

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