Asymptotic behavior of solutions to coupled semilinear parabolic systems with boundary degeneracy

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dc.contributor.authorJing, Xinxin
dc.contributor.authorNie, Yuanyuan
dc.contributor.authorWang, Chunpeng
dc.date.accessioned2021-08-27T18:18:38Z
dc.date.available2021-08-27T18:18:38Z
dc.date.issued2021-08-10
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJing, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14477
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectAsymptotic behavior
dc.subjectBoundary degeneracy
dc.titleAsymptotic behavior of solutions to coupled semilinear parabolic systems with boundary degeneracy
dc.typeArticle

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