Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains

Author:

Bonforte Matteo,Sire Yannick,Vázquez Juan Luis

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference47 articles.

1. Sobolev spaces,;R. A. Adams;Second edition,2003

2. Large time behaviour of solutions of the porous medium equation in bounded domains,;D. G. Aronson;J. Diff. Equations,1981

3. Boundary values of functions with finite Dirichlet integral,;N. Aronszajn;Tech. Report of Univ. of Kansas,1955

4. Continuity of the temperature in boundary heat control problems,;I. Athanasopoulos;Adv. Math.,2010

5. The continuous dependence on $\varphi $ of solutions of $u_t - \Delta \varphi (u) = 0$,;P. Bénilan;Indiana Univ. Math. J.,1981

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