Existence, uniqueness and properties of the solutions of a degenerate parabolic equation with diffusion-advection-absorption
The paper deals with existence, uniqueness and qualitative properties of solutions of the Cauchy-Dirichlet problem for degenerate parabolic equations of the type \(u_ t = A(u)_{xx} + B(u)_ x - C(u)\), which describes the one dimensional filtration of water into porous media.
one dimensional filtration of water into porous media
scientific article; zbMATH DE number 646736