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Representations and estimates for inverse operators in the harmonic potential theory for polyhedra
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
2012 (English)In: Rendiconti Lincei - Matematica e Applicazioni, ISSN 1120-6330, Vol. 23, no 3, 229-258 p.Article in journal (Refereed) Published
Abstract [en]

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 Greens kernel of the Neumann problem are proved.

Place, publisher, year, edition, pages
European Mathematical Society , 2012. Vol. 23, no 3, 229-258 p.
Keyword [en]
Potential theory, boundary integral equations, polyhedron, Neumann problem, fundamental solutions
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-84365DOI: 10.4171/RLM/626ISI: 000308218000001OAI: diva2:558769
Available from: 2012-10-05 Created: 2012-10-05 Last updated: 2012-10-05

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Maz´ya, Vladimir
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Mathematics and Applied MathematicsThe Institute of Technology
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