Asymptotic behavior of solutions to coupled semilinear parabolic systems with boundary degeneracy
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Date
2021-08-10
Authors
Jing, Xinxin
Nie, Yuanyuan
Wang, Chunpeng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the asymptotic behavior of solutions to coupled semilinear parabolic systems with boundary degeneracy. For the problem in a bounded domain, it is proved that there exist both nontrivial global and blowing-up solutions if the degeneracy is not strong, while any nontrivial solution must blow up in a finite time if the degeneracy is enough strong. For the problem in an unbounded domain, blowing-up theorems of Fujita type are established. It is shown that the critical Fujita curve is determined by the strength of degeneracy. In particular, it is infinite if the degeneracy is enough strong.
Description
Keywords
Asymptotic behavior, Boundary degeneracy
Citation
Jing, X., Nie, Y., & Wang, C. (2021). Asymptotic behavior of solutions to coupled semilinear parabolic systems with boundary degeneracy. <i>Electronic Journal of Differential Equations, 2021</i>(67), pp. 1-17.
Rights
Attribution 4.0 International