期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 196, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2020.111785
关键词
Global existence; Blowup solutions; Gierer-Meinhardt systems
资金
- NSERC, Canada [RGPIN-2019-05940]
- National Natural Science Foundation of China [11871017]
- China Postdoctoral Science Foundation [2013M540270]
- Fundamental Research Funds for the Central Universities, China
We discuss global and blowup solutions for general Gierer-Meinhardt system with zero Neumann boundary conditions, which originally arose in studies of pattern-formation in biology and has interesting and challenging mathematical properties. We obtain some new sufficient conditions for global existence and finite time blow-up of solutions. In some special cases, the results are sharp. (C) 2020 Elsevier Ltd. All rights reserved.
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