Blow Up and Global Existence of Solutions to an Inhomogeneous Parabolic System
Blow Up and Global Existence of Solutions to an Inhomogeneous Parabolic System
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DOI：
10.1006/jdeq.1998.3448
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发表时间：
1998-07
影响因子：
2.4
通讯作者：
Qi S. Zhang
中科院分区：
文献类型：
--
作者：
Qi S. Zhang
摘要本文研究了一类弱耦合非齐次抛物方程组的临界现象，尽管齐次问题已被广泛研究，但这一问题在很大程度上还未被探索。与著名的齐次情形相比，非线性项的幂的条件是新的。该方法似乎与文献中的标准方法不同。最后给出了对Lame-埃姆登系统的应用
Abstract We study the critical phenomenon of a weakly coupled inhomogeneous parabolic system, which is largely unexplored even though the homogeneous problem has been widely studied. The conditions on the powers of the nonlinear terms are new compared with the well-known homogeneous case. The method appears to be different from the standard ones in the literature. An application to the Lame– Emden system is also given