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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
Parametrix
Pseudo-differential equations
Boundary-domain integral equations
Asymptotics |
| 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. |
| URI: | http://bura.brunel.ac.uk/handle/2438/5916 |
| DOI: | http://dx.doi.org/10.1216/JIE-2010-22-1-19 |
| ISSN: | 0897-3962 |
| Appears in Collections: | Mathematics
School of Information Systems, Computing and Mathematics Research Papers
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