Representations and estimates for inverse operators in the harmonic potential theory for polyhedra
type: Item
instance of: scholarly article
title: Representations and estimates for inverse operators in the harmonic potential theory for polyhedra
zbMATH Open document ID: 1252.35128
DOI: 10.4171/RLM/626
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2012-10-19T00:00:00Z
review text: Summary: The paper mainly concerns the results by N. Grachev and the author in the harmonic potential theory for polyhedra. Pointwise estimates for kernels of inverse operators are presented which imply the invertibility of the integral operator generated by the double layer potential in the space of continuous functions and in \(L_p\). Auxiliary pointwise estimates for Green's kernel of the Neumann problem are proved.
Mathematics Subject Classification ID: 35G15
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 6095895
zbMATH Keywords: boundary integral equations
zbMATH Keywords: Neumann problem
zbMATH Keywords: fundamental solutions
zbMATH Keywords: pointwise estimates for Green's kernel
author: V. Maz'ya
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/rlm/626
OpenAlex ID: W12856596
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description: scientific article; zbMATH DE number 6095895