Periodic behavior for a degenerate fast diffusion equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:351

Article

Favini, Angelo²  Marinoschi, Gabriela¹ 

[1] Inst Math Stat & Appl Math, Bucharest 050711, Romania

[2] Univ Bologna, Dept Math, I-40126 Bologna, Italy

关键词: Degenerate parabolic PDE;    Periodic solutions;    Fixed point theorem;    Flows in porous media;   

DOI  :  10.1016/j.jmaa.2008.10.048

来源: Elsevier

【 摘 要 】

This work deals with the study of periodic solutions to a degenerate fast diffusion equation. The existence of the periodic solution to an intermediate problem restraint to a period T is proved first and then the result is extended by the data periodicity to all time real space. The approach involves an appropriate approximating problem whose periodic solution is proved via a fixed point theorem. Next, a passing to the limit procedure leads to the existence of the solution to the original problem on a time period. Finally, the behavior at large time of the solution to a Cauchy problem with periodic data is characterized. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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