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arXiv:1208.0621 [math.AP]Abstract References Reviews Resources

Local Hölder continuity for some doubly nonlinear parabolic equations in measure spaces

Published 2012-08-02, updated 2012-11-12Version 2

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.

Comments: arXiv admin note: text overlap with arXiv:1006.0781 by other authors

Categories: math.AP

Subjects: 35B65, 35K65, 35K67, 35D10

Keywords: doubly nonlinear parabolic equations, local hölder continuity, measure space, non-trivial borel measure supporting, nonlinear parabolic equations possessing

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