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Keywords:
homogeneous Dirichlet boundary conditions; initial distribution; existence; global solution; global Lipschitz continuity; smooth initial data; blow-up; local existence; finite extinction; nonlinear diffusion; method of lines
homogeneous Dirichlet boundary conditions; initial distribution; existence; global solution; global Lipschitz continuity; smooth initial data; blow-up; local existence; finite extinction; nonlinear diffusion; method of lines
Summary:
The paper concerns the (local and global) existence, nonexistence, uniqueness and some properties of nonnegative solutions of a nonlinear density dependent diffusion equation with homogeneous Dirichlet boundary conditions.
References:
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