Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 39, 2014, 361-388

THE FAST DIFFUSION EQUATION WITH INTEGRABLE DATA WITH RESPECT TO THE DISTANCE TO THE BOUNDARY

Fengquan Li

Dalian University of Techology, School of Mathematical Sciences
Dalian, 116024, P.R. China; fqli 'at' dlut.edu.cn

Abstract. In this paper, we study the existence and regularity of very weak solutions to the fast diffusion equations with integrable data with respect to the distance to the boundary.

2010 Mathematics Subject Classification: Primary 35K55, 35K67; Secondary 35B65, 35D30.

Key words: Very weak solutions, existence, regularity, the fast diffusion equations, distance function, integrable data.

Reference to this article: F. Li: The fast diffusion equation with integrable data with respect to the distance to the boundary. Ann. Acad. Sci. Fenn. Math. 39 (2014), 361-388.

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doi:10.5186/aasfm.2014.3920