Existence and uniqueness of some Holder continuous generalized solution of Cauchy-Dirichlet problem for a class of degenerate or singular quasilinear parabolic equations is established. Similar equations arise in the study of turbulent filtration of a gas or a fluid through porous media.
Cite this article
A.V. Ivanov, Existence and Uniqueness of a Regular Solution of the Cauchy- Dirichlet Problem for Doubly Nonlinear Parabolic Equations. Z. Anal. Anwend. 14 (1995), no. 4, pp. 751–777DOI 10.4171/ZAA/650