Global existence from single-component _{} estimates in a semilinear reaction-diffusion system
Global existence from single-component _{} estimates in a semilinear reaction-diffusion system
复制标题
半线性反应扩散系统中单组分 _{} 估计的全局存在性
DOI：
10.1090/s0002-9939-02-06453-5
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
P. Souplet
中科院分区：
文献类型：
--
作者：
P. Quittner;P. Souplet
对于两个幂非线性耦合的反应扩散方程组，我们证明了在适当的p下，单个分量上的Lp界足以保证全局存在性。我们还提供了一个强有力的迹象表明，我们的条件是最好的可能。而且，这个连续性结果与作者早先得到的相应的局部存在的充分必要条件相反。
For a system of two reaction-diffusion equations coupled by power nonlinearities, we prove that an Lp bound on a single component for suitable p is enough to guarantee global existence. Also we provide a strong indication that our condition on p is the best possible. Moreover, this continuation result is in contrast with the corresponding necessary and sufficient conditions for local existence obtained earlier by the authors.