liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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, E-ISSN 1720-0768, 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
Identifiers
URN: urn:nbn:se:liu:diva-84365DOI: 10.4171/RLM/626ISI: 000308218000001OAI: oai:DiVA.org:liu-84365DiVA: diva2:558769
Available from: 2012-10-05 Created: 2012-10-05 Last updated: 2017-12-07

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Maz´ya, Vladimir

Search in DiVA

By author/editor
Maz´ya, Vladimir
By organisation
Mathematics and Applied MathematicsThe Institute of Technology
In the same journal
Rendiconti Lincei - Matematica e Applicazioni
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 67 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf