<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Sharp regularity for the inhomogeneous porous medium equation |
Publication Date: | 2017-06-14 |
Authors: |
- Damião J. Araújo
- Anderson F. Maia - José Miguel Urbano |
Abstract: | We show that locally bounded solutions of the inhomogeneous porous medium equation ut − div(mum−1∇u) = f ∈ Lq,r, m > 1, are locally Hölder continuous, with exponentγ =min {α0−/m , [(2q − n)r − 2q]/q[(mr − (m − 1)]}, where α0 denotes the optimal Hölder exponent for solutions of the homogeneous case. The proof relies on an approximation lemma and geometric iteration in the appropriate intrinsic scaling. |
Institution: | DMUC 17-31 |
Online version: | http://www.mat.uc.pt...prints/eng_2017.html |
Download: | Not available |