Journal of Mathematical Sciences

, Volume 213, Issue 4, pp 610–635 | Cite as

Hölder Continuity of Solutions to Nonlinear Parabolic Equations Degenerated on a Part of the Domain

  • M. D. Surnachev

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.


Parabolic Equation Energy Estimate Harnack Inequality Nonnegative Solution Nonlinear Parabolic Equation 
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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Keldysh Institute of Applied Mathematics RASMoscowRussia

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