学术
国际标准刊号：ISSN 1001-5051
国内统一刊号：CN 33-1291
摘 要:
考虑了一个非线性抛物型方程的初边值问题．通过构造辅助函数，利用抛物方程的最大值原理，在对a，f以及初值适当的假设条件下，获得了解的整体存在性．[著者文摘]
文章出处:
《浙江师范大学学报：自然科学版》-2007年30卷3期 -261-263页
Journal of Zhejiang Normal University Natural Sciences
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1001-5051（2007）03-0261-03
[参考文献]
Global existence of solutions for a class of nonlinear parabolic equations with diricblet boundary conditions
XU Zhifen（ Department of Mathematics, Nanjing University of Information Science ＆ Technology, Nanjing Jiangsu 210044, China）
Abstract:
The global existence of solutions and their smoothness for a class of nonlinear parabolic equations with Dirichlet boundary conditions were studied. By constructing an auxiliary function, using maximum principles of parabolic equations on it and giving some suitable assumptions on a, f and initial date, the sufficient conditions were given.[著者文摘]
Key words:
nonlinear parabolic equation; initial boundary values; maximum principles of parabolic equations ; global solutions
收稿日期: 2006-02-04
修订日期: 2006-10-21
基金资助:
南京信息工程大学科研基金资助项目（Y624）
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