$L_p$-Theory of Boundary Integral Equations on a Contour with Inward Peak

Vladimir G. Maz'ya; A. Soloviev

doi:10.4171/zaa/843

JournalszaaVol. 17, No. 3pp. 641–673

$L_{p}$ -Theory of Boundary Integral Equations on a Contour with Inward Peak

Vladimir G. Maz'ya
Linköping University, Sweden
A. Soloviev
Chelyabinsk State University, Russian Federation

Download PDF

Abstract

Boundary integral equations of the second kind in the logarithmic potential theory - are studied under the assumption that the contour has an inward peak. For each equation we find a pair of function spaces such that the corresponding operator bijectively maps one of them onto another.

Cite this article

Vladimir G. Maz'ya, A. Soloviev, $L_{p}$ -Theory of Boundary Integral Equations on a Contour with Inward Peak. Z. Anal. Anwend. 17 (1998), no. 3, pp. 641–673

DOI 10.4171/ZAA/843