Local and global existence for quasilinear parabolic systems with a strongly nonlinear source

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• 作者：Haifeng Shang ; ^{hfshang@yahoo.cn} ; Lihua Deng ^{denglihua840321@163.com}
• 关键词：35K45 ; 35K55
• 刊名：Nonlinear Analysis
• 出版年：2012
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：June, 2012
• 卷：75
• 期：10
• 页码：4014-4024
• 文件大小：268 K

摘要

We study the Cauchy problem for quasilinear parabolic systems with a strongly nonlinear source on the assumptions that the initial values are taken in the sense of . We obtain the local existence, global existence and nonexistence of solutions. Particularly, in the case of global solvability, some exact estimates of a solution are obtained.