Journal article
Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities
Publication Details
Authors: | Frehse, J.; Specovius-Neugebauer, M. |
Publication year: | 2010 |
Journal: | Journal für die reine und angewandte Mathematik |
Pages range : | 169-188 |
Volume number: | 638 |
Start page: | 169 |
End page: | 188 |
ISSN: | 0075-4102 |
eISSN: | 1435-5345 |
DOI-Link der Erstveröffentlichung: |
URN / URL: |
Abstract
We consider parabolic systems u(t) - Sigma(N)(j=1) D(i)a(i)(., del u) = f, where the coefficient functions possess a potential and linear growth in del u. Assuming a coerciveness and natural entropy condition, but no monotonicity condition, we prove a Morrey estimate for del u which implies C-alpha-regularity in the case of two dimensions.
We consider parabolic systems u(t) - Sigma(N)(j=1) D(i)a(i)(., del u) = f, where the coefficient functions possess a potential and linear growth in del u. Assuming a coerciveness and natural entropy condition, but no monotonicity condition, we prove a Morrey estimate for del u which implies C-alpha-regularity in the case of two dimensions.
