摘要
J.L.L ions用紧致性方法证明了一类退化非线性抛物型方程初边值问题整体解的存在唯一性,但解的衰减性很少有人考虑.应用M.N akao建立的差分不等式研究了整体解的衰减估计.
J.L. Lions has proved the existence and uniqueness of global solutions to the initialboundary value problem for a class of nonlinear degenerate parabolic equation by mean of compactness principle, but the decay property is considered by few people. In this paper, we study the decay estimate of global solutions making use of the difference inequality being established by M. Nakao.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第5期224-228,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(10441002)
河南省自然科学基金(0111051200)
河南省教育厅自然科学基金(200510466011)
关键词
退化非线性抛物型方程
整体解
初边值问题
衰减估计
nonlinear degenerate parabolic equation
global solutions
initial-boundary valueproblem
decay estimates
