阎格. 关于Fujita类方程组解的有界性和Blowup的一些结论[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1993, (4).DOI：
关于Fujita类方程组解的有界性和Blowup的一些结论
摘要
对Fujita类方程组解的整体存在性和如何在有限时间内发生Blow up现象的研究
具有实际意义.M.Escobedo等人对其二元情形曾做过研究
即在[1]中对非线性项单一如v?或u?的Cauchy问题进行了讨论
本文意在上述基础上作些推广:修改非线性项如u?v?或u~qvn情形
利用上、下解的方法
证明了在一定条件下
推广后的Cauchy问题亦有[1]中指出的类似的结果.
Abstract
It is very useful for application to discuss the global solution exsitence and finite time blow up of Fujita type systems. M. Escobedo and M. A. Herrero have considered binary systems in [1] but only considered that nonlinear terms are vp and uq . We show in this paper what happen when the nonlinear terms are uq vp and vp uq . Using a construction method for obtaining sub and super solutions
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