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

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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.

Keywords:

Doubly degenerate equations;Dirichet problem;BV solution
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BV Solutions of Dirichlet Problem for a Class of Doubly Nonlinear Degenerate Parabolic Equations. (2004). Journal of Partial Differential Equations, 17(3), 241-254. https://www.global-sci.com/index.php/jpde/article/view/4026