التفاصيل البيبلوغرافية
| العنوان: |
Weighted p--Laplace approximation of linear and quasi-linear elliptic problems with measure data |
| المؤلفون: |
Eymard, Robert, Maltese, David, Prignet, Alain |
| سنة النشر: |
2022 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Classical Analysis and ODEs |
| الوصف: |
We approximate the solution to some linear and degenerate quasi-linear problem involving a linear elliptic operator (like the semi-discrete in time implicit Euler approximation of Richards and Stefan equations) with measure right-hand side and heterogeneous anisotropic diffusion matrix. This approximation is obtained through the addition of a weighted p--Laplace term. A well chosen diffeomorphism between R and (--1, 1) is used for the estimates of the approximated solution, and is involved in the above weight. We show that this approximation converges to a weak sense of the problem for general right-hand-side, and to the entropy solution in the case where the right-hand-side is in L 1 . |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2205.07698 |
| رقم الانضمام: |
edsarx.2205.07698 |
| قاعدة البيانات: |
arXiv |