On Nonlinear Parabolic Equation in Nondivergent Form with Implicit Degeneration and Embedding Theorems

Abstract

The mixed problem for the implicit degenerating nonlinear parabolic equation is considered, and the solvability and behavior of solutions of this problem are studied. Furthermore, some classes of function spaces and their relations with Sobolev spaces are investigated, embedding and compactness theorems for these spaces are proved