| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895709 | Physica D: Nonlinear Phenomena | 2013 | 6 Pages |
Abstract
We present in this paper two elementary constructions of multiresolution analyses on the L-shaped domain D. In the first one, we shall describe a direct method to define an orthonormal multiresolution analysis. In the second one, we use the decomposition method for constructing a biorthogonal multiresolution analysis. These analyses are adapted for the study of the Sobolev spaces Hs(D)(sâN).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Abdellatif Jouini, Pierre Gilles Lemarié-Rieusset,