JournalsrlmVol. 23, No. 3pp. 229–258

Representations and estimates for inverse operators in the harmonic potential theory for polyhedra

  • Vladimir G. Maz'ya

    Linköping University, Sweden
Representations and estimates for inverse operators in the harmonic potential theory for polyhedra cover
Download PDF

Abstract

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 LpL_p. Auxiliary pointwise estimates for Green’s kernel of the Neumann problem are proved.

Cite this article

Vladimir G. Maz'ya, Representations and estimates for inverse operators in the harmonic potential theory for polyhedra. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 23 (2012), no. 3, pp. 229–258

DOI 10.4171/RLM/626