Localization for a doubly degenerate parabolic equation with strongly nonlinear sources
Localization for a doubly degenerate parabolic equation with strongly nonlinear sources
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DOI：
10.1002/mma.1236
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发表时间：
2010-06
影响因子：
2.9
通讯作者：
Zhaoyin Xiang
中科院分区：
文献类型：
--
作者：
Zhaoyin Xiang
In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, \documentclass{article}\footskip=0pc\pagestyle{empty}\begin{document}${\partial}_tu={\rm{div}}(|\nabla u^m|^{p-2}\nabla u^m)+u^q, \quad p{>}2,m,q{>}1$\end{document} We prove that, for non‐negative compactly supported initial data, the strict localization occurs if and only if q⩾m(p−1). Copyright © 2009 John Wiley & Sons, Ltd.
In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, \documentclass{article}\footskip=0pc\pagestyle{empty}\begin{document}${\partial}_tu={\rm{div}}(|\nabla u^m|^{p-2}\nabla u^m)+u^q, \quad p{>}2,m,q{>}1$\end{document} We prove that, for non‐negative compactly supported initial data, the strict localization occurs if and only if q⩾m(p−1). Copyright © 2009 John Wiley & Sons, Ltd.