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Title: Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, II : Solution regularity and asymptotics
Authors: Chkadua, O
Mikhailov, SE
Natroshvili, D
Keywords: Partial differential equations
Variable coefficients
Mixed problems
Pseudo-differential equations
Boundary-domain integral equations
Publication Date: 2010
Publisher: Rocky Mountain Mathematics Consortium
Citation: Journal of Integral Equations and Applications, 22(1): 19 - 37, Spring 2010
Abstract: Mapping and invertibility properties of some parametrix-based surface and volume potentials are studied in Bessel-potential and Besov spaces. These results are then applied to derive regularit 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 change of the boundary condition type.
Description: Copyright @ 2010 Rocky Mountain Mathematics Consortium
Sponsorship: This work was supported by the International Joint Project Grant - 2005/R4.
ISSN: 0897-3962
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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