Analysis of direct boundary-domain integral equations for a mixed bvp with variable coefficient, II: Solution regularity and asymptotics

Abstract

Mapping and iuvcrtibility properties of sonic parainetrix-based surface and volume potentials arc studied in Bessel-potential and Besov spaces. These results are then applied to derive regularity and asymptotics of the solution to a system of boundary-domain integral equations associated with a mixed BVP for a variable-coefficient PDE, in a vicinity of the curve of chaugc of the boundary condition type. © 2010 Rocky Mountain Mathematics Consortium. All rights reserved.