TIME-DEPENDENT DOMAINS FOR NONLINEAR EVOLUTION OPERATORS AND PARTIAL DIFFERENTIAL EQUATIONS

NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 > Item 987654321/51219

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/51219

题名:	TIME-DEPENDENT DOMAINS FOR NONLINEAR EVOLUTION OPERATORS AND PARTIAL DIFFERENTIAL EQUATIONS
作者:	Lin,CY
贡献者:	數學系
关键词:	BANACH SPACES;SEMIGROUPS;GENERATION
日期:	2011
上传时间:	2012-03-27 18:25:15 (UTC+8)
出版者:	國立中央大學
摘要:	This article concerns the nonlinear evolution equation du(t)/dt is an element of A(t)u(t), 0 <= s < t < T, u(s) = u(0) in a real Banach space X, where the nonlinear, time-dependent, and multi-valued operator A(t) : D(A(t)) subset of X -> X has a time-dependent domain D(A(t)). It will be shown that, under certain assumptions on A(t), the equation has a strong solution. Illustrations are given of solving quasi-linear partial differential equations of parabolic type with time-dependent boundary conditions. Those partial differential equations are studied to a large extent.
關聯:	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
显示于类别:	[數學系] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	590	检视/开启

在NCUIR中所有的数据项都受到原著作权保护.

社群 sharing