Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 196, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2020.111785
Keywords
Global existence; Blowup solutions; Gierer-Meinhardt systems
Categories
Funding
- 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
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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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