淡江大學機構典藏:Item 987654321/115912
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    題名: Excluding blowup at zero points of the potential by means of Liouville-type theorems
    作者: Jong-Shenq Guo;Philippe Souplet
    關鍵詞: Blowup;Potential;Liouville-type theorem
    日期: 2018-11-15
    上傳時間: 2019-03-09 12:10:31 (UTC+8)
    出版者: Elsevier
    摘要: We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations. As an application, for the equation , we rule out the possibility of blowup at zero points of the potential V for monotone in time solutions when for large u, both in the Sobolev subcritical case and in the radial case. This solves a problem left open in previous work on the subject. Suitable Liouville-type theorems play a crucial role in the proofs.
    關聯: Journal of Differential Equations 265(10), p.4942-4964
    DOI: 10.1016/j.jde.2018.06.025
    顯示於類別:[數學學系暨研究所] 期刊論文

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