Jing, XinxinNie, YuanyuanWang, Chunpeng2021-08-272021-08-272021-08-10Jing, 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. 1-17.1072-6691https://hdl.handle.net/10877/14477This 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.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalAsymptotic behaviorBoundary degeneracyArticle