$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity

We prove that the Steklov eigenfunctions on convex domains of $\mathbb R^n$ are $H^2$ regular by adapting a classical argument combined with the Rellich-Pohozaev identity.

Publication Details

Journal
ArXiv.org
Published
2025-03-25
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity

ArXiv.org
Holomorphic and Operator Theory
article

$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity

article en

Abstract

We prove that the Steklov eigenfunctions on convex domains of $\mathbb R^n$ are $H^2$ regular by adapting a classical argument combined with the Rellich-Pohozaev identity.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 38%
Holomorphic and Operator Theory
Open Access PDFOpenAlex
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$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity · ArXiv.org (2025) | TGRS Research Map | TGRS