Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
| dc.creator | Maso, Gianni Dal | |
| dc.creator | Murat, Francois | |
| dc.date | 2002-05-22 | |
| dc.date.accessioned | 2026-07-07T04:48:37Z | |
| dc.date.available | 2026-07-07T04:48:37Z | |
| dc.description | We consider a sequence of Dirichlet problems in varying domains (or, more generally, of relaxed Dirichlet problems involving measures in M_0) for second order linear elliptic operators in divergence form with varying matrices of coefficients. When the matrices H-converge to a matrix A^0, we prove that there exist a subsequence and a measure mu^0 in M_0 such that the limit problem is the relaxed Dirichlet problem corresponding to A^0 and mu^0. We also prove a corrector result which provides an explicit approximation of the solutions in the H^1-norm, and which is obtained by multiplying the corrector for the H-converging matrices by some special test function which depends both on the varying matrices and on the varying domains. | |
| dc.description | 56 pages | |
| dc.identifier | https://arxiv.org/abs/math/0205225 | |
| dc.identifier | http://arxiv.org/abs/math/0205225 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64120 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains | |
| dc.type | text |