HOELDER CONTINUITY OF SOLUTIONS TO NONLINEAR PARABOLIC EQUATIONS DEGENERATED ON A PART OF THE DOMAIN

摘要

We study the regularity of solutions to parabolic p-Laplace type equations degenerating uniformly with respect to a small parameter e on a part of the domain. We prove e-uniform estimates for the maximum of modulus, and Hoelder estimates for the modulus of continuity of the solution. We also prove the Harnack inequality of a special form. Bibliography: 14 titles.