Global Existence and Blowup for a Parabolic Equation with a Non-Local Source and Absorption

Zhi Ling, Zhigui Lin, Michael Pedersen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    In this paper we consider a double fronts free boundary problem for a parabolic equation with a non-local source and absorption. The long time behaviors of the solutions are given and the properties of the free boundaries are discussed. Our results show that if the initial value is sufficiently large, then the solution blows up in finite time, while the global fast solution exists for sufficiently small initial data, and the intermediate case with suitably large initial data gives the existence of the global slow solution.
    Original languageEnglish
    JournalActa Applicandae Mathematicae
    Volume124
    Issue number1
    Pages (from-to)171-186
    ISSN0167-8019
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Free boundary
    • Blowup
    • Global solution
    • Non-local source
    • Absorption

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