Representations and estimates for inverse operators in the harmonic potential theory for polyhedra
2012 (English)In: Rendiconti Lincei - Matematica e Applicazioni, ISSN 1120-6330, Vol. 23, no 3, 229-258 p.Article in journal (Refereed) Published
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.
Potential theory, boundary integral equations, polyhedron, Neumann problem, fundamental solutions
IdentifiersURN: urn:nbn:se:liu:diva-84365DOI: 10.4171/RLM/626ISI: 000308218000001OAI: oai:DiVA.org:liu-84365DiVA: diva2:558769