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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/97798

    Title: Dynamics for a complex-valued heat equation with an inverse nonlinearity
    Authors: Guo, Jong-Shenq;Ling, Chia-Tung
    Contributors: 淡江大學數學學系
    Keywords: Cauchy problem;Complex-valued heat equation;Global existence;Quenching
    Date: 2013-04
    Issue Date: 2014-04-21 21:28:25 (UTC+8)
    Publisher: Maryland Heights: Academic Press
    Abstract: We study the Cauchy problem for a parabolic system which is derived from a complex-valued heat equation with an inverse nonlinearity. First, we provide some criteria for the global existence of solutions. Then we consider the case when the initial data are asymptotically constants and obtain that, depending on the asymptotic limits, the solution quenches at space infinity or exists globally in time.
    Relation: Journal of Mathematical Analysis and Applications 400(1), pp.153-160
    DOI: 10.1016/j.jmaa.2012.11.035
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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