Local H\"older continuity for some doubly nonlinear parabolic equations in measure spaces
Analysis of PDEs
2012-11-13 v2
Abstract
We establish the local H\"older continuity for the nonnegative weak solutions of certain doubly nonlinear parabolic equations possessing a singularity in the time derivative part and a degeneracy in the principal part. The proof involves the method of intrinsic scaling and the setting is a measure space equipped with a doubling non-trivial Borel measure supporting a Poincar\'e inequality.
Keywords
Cite
@article{arxiv.1208.0621,
title = {Local H\"older continuity for some doubly nonlinear parabolic equations in measure spaces},
author = {Eurica Henriques and Rojbin Laleoglu},
journal= {arXiv preprint arXiv:1208.0621},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1006.0781 by other authors