BV Solutions of Dirichlet Problem for a Class of Doubly Nonlinear Degenerate Parabolic Equations

Abstract

The uniqueness and existence of BV solutions to Dirichlet problem of doubly degenerate parabolic equations of the following form \frac{∂u}{∂t} = div(A(|∇B(u)|)∇B(u)) in Q_T = Ω × (0, T) are studied.