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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/108413

    Title: Self-similar solutions for a quenching problem with spatially dependent nonlinearity
    Authors: Jong-Shenq Guo;Yoshihisa Morita;Shoji Yotsutani
    Keywords: Self-similar solution;Slow orbit;Pohozaev's type identity;Backward solution
    Date: 2016-12-01
    Issue Date: 2016-11-25 02:10:39 (UTC+8)
    Publisher: Pergamon Press
    Abstract: This paper is devoted to the study of the self-similar solutions for a semilinear parabolic equation with spatially dependent nonlinearity which arises in the model of micro-electro mechanical system. We first provide a result on the non-existence of slow orbit for a certain range of parameters. Next, we prove the existence of backward solutions with the desired polynomial growth condition at infinity to the associated equation by a fixed point argument. Then we give a detailed analysis of the behavior of global solutions at the origin. Finally, as an application of the above results, we prove a uniqueness theorem.
    Relation: Nonlinear Analysis: Theory, Methods & Applications 147, p.45-62
    DOI: 10.1016/j.na.2016.08.026
    Appears in Collections:[數學學系暨研究所] 期刊論文

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