Geodesic
On solutions of a perturbed fast diffusion equation
Applications of Mathematics, Tome 32 (1987) no. 5, pp. 364-380.

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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.
DOI : 10.21136/AM.1987.104268
Classification : 35B40, 35K20, 35K55, 35K60, 35K65
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 
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     author = {Filo, J\'an},
     title = {On solutions of a perturbed fast diffusion equation},
     journal = {Applications of Mathematics},
     pages = {364--380},
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     volume = {32},
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     zbl = {0652.35064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104268/}
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Filo, Ján. On solutions of a perturbed fast diffusion equation. Applications of Mathematics, Tome 32 (1987) no. 5, pp. 364-380. doi : 10.21136/AM.1987.104268. http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104268/

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