Global existence for nonlinear diffusion equations
The Dirichlet problem for degenerate reaction-diffusion-convection equations in space-dimension one is considered. Global existence of nonnegative solutions is studied. The role of convection in yielding global existence is analyzed in the special case when none of the three nonlinearities depends explicitly on \(x\) and \(t\).
degenerate reaction-diffusion-convection equations
scientific article; zbMATH DE number 861829