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Filo, Ján
On solutions of a perturbed fast diffusion equation. (English). Aplikace matematiky, vol. 32 (1987), issue 5, pp. 364-380
MSC: 35B40, 35K20, 35K55, 35K60, 35K65 | MR 0909544 | Zbl 0652.35064 | DOI: 10.21136/AM.1987.104268
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
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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