Email this article Hölder Continuity of Solutions to Nonlinear Parabolic Equations Degenerated on a Part of the Domain
- Authors: Surnachev M.D.1
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Affiliations:
- Keldysh Institute of Applied Mathematics RAS
- Issue: Vol 213, No 4 (2016)
- Pages: 610-635
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237215
- DOI: https://doi.org/10.1007/s10958-016-2727-z
- ID: 237215
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Abstract
We study the regularity of solutions to parabolic p-Laplace type equations degenerating uniformly with respect to a small parameter ε on a part of the domain. We prove ε-uniform estimates for the maximum of modulus, and Hölder estimates for the modulus of continuity of the solution. We also prove the Harnack inequality of a special form.
About the authors
M. D. Surnachev
Keldysh Institute of Applied Mathematics RAS
Author for correspondence.
Email: peitsche@yandex.ru
Russian Federation, 4, Miusskaya sq., Moscow, 125047
