H²-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity

2025/03/25 by Lamberti, Pier Domenico, Provenzano, Luigi · 2 citations
#35B65 #35P05 #35P15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2503.19852

Abstract

We prove that the Steklov eigenfunctions on convex domains of \mathbb Rⁿ are H² regular by adapting a classical argument combined with the Rellich-Pohozaev identity.

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• MIT bag in non-smooth convex domains
• Steklov vs. Steklov: A Fourth-Order Affair Related to the Babuška Paradox

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