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一类带非局源的退化抛物方程组解的整体存在与爆破(英文) 被引量:5

Global Existence and Blow-up for a Degenerate Parabolic System with Nonlocal Source
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摘要 讨论了一类非局部退化抛物方程组ut=vp1(Δu+au∫Ωvq1dx),vt=up2(Δv+bv∫Ωuq2dx)的解的爆破性质,并利用上、下解方法得到了解的整体存在与爆破的条件. The authors consider the blow-up phenomenon for a nonlocal degenerate system ut=v^p1(△u+au∫nv^q1dx),vt=u^p2(△v+bv∫n^u^q2dx) with Dirichlet boundary condition. Conditions on the existence of global and blow-up solution are obtained by using the super- and sub-solution techniques.
作者 张岩 宋小军
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第9期80-84,共5页 Journal of Southwest University(Natural Science Edition)
关键词 退化抛物方程组 非局部濂 整体存在 爆破 degenerate parabolic systems nonlocal sources global existences blow-up
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参考文献9

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二级参考文献6

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