English  |  正體中文  |  简体中文  |  Items with full text/Total items : 49647/84944 (58%)
Visitors : 7709326      Online Users : 46
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    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:[Graduate Institute & Department of Mathematics] Journal Article

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML27View/Open
    Self-similar solutions for a quenching problem with spatially dependent nonlinearity.pdf676KbAdobe PDF0View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.


    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback