GLOBAL EXISTENCE AND BLOW-UP FOR THE FAST DIFFUSION EQUATION WITH A MEMORY BOUNDARY CONDITION

In this paper, we study the long-time behavior of solutions to the fast diffusion equation with a memory boundary condition. The problem corresponds to a model introduced in previous studies of tumor-induced angiogenesis. We establish global existence and finite time blow-up results for the problem.

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Bibliographic Details
Published in:Quarterly of applied mathematics 2016-01, Vol.74 (1), p.189-199
Main Authors: DENG, KENG, WANG, QIAN
Format: Article
Language:English
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Summary:In this paper, we study the long-time behavior of solutions to the fast diffusion equation with a memory boundary condition. The problem corresponds to a model introduced in previous studies of tumor-induced angiogenesis. We establish global existence and finite time blow-up results for the problem.
ISSN:0033-569X
1552-4485
DOI:10.1090/qam/1425