Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain
| Autor: | Sergey E. Mikhailov, C. F. Portillo |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
mixed boundary value problem
35J25 31B10 45K05 45A05 Boundary (topology) 31B10 Variable coefficient Domain (mathematical analysis) Mathematics - Analysis of PDEs Lipschitz domain 35J25 FOS: Mathematics 45A05 Boundary value problem Remainder Mathematics Numerical Analysis 45K05 Partial differential equation Parametrix Applied Mathematics Mathematical analysis boundary-domain integral equations Integral equation remainder variable coefficient parametrix Analysis of PDEs (math.AP) |
| Zdroj: | J. Integral Equations Applications 32, no. 1 (2020), 59-75 |
| ISSN: | 0897-3962 |
| DOI: | 10.1216/jie.2020.32.59 |
| Popis: | A mixed boundary value problem for the partial differential equation of diffusion in an inhomogeneous medium in a Lipschitz domain is reduced to a system of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs). We use a parametrix different from the one employed in the papers by Mikhailov (2002, 2006) and Chkadua, Mikhailov, Natroshvili (2009). We prove the equivalence between the original BVP and the corresponding BDIE system. The invertibility and Fredholm properties of the boundary-domain integral operators are also analysed. Comment: arXiv admin note: text overlap with arXiv:1801.03854 |
| Databáze: | OpenAIRE |
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