JournalszaaVol. 17, No. 3pp. 641–673

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