一类带非线性奇异边界条件的非线性抛物方程的淬灭问题  

Quenching for a nonlinear parabolic equation with nonlinear singular boundary condition

作　　者：宋璞[1] 穆春来[1] 黄水波[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《重庆工商大学学报（自然科学版）》2008年第2期111-114,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金(10571126);新世纪高校杰出人才基金资助

摘　　要：设带非线性奇异边界条件的非线性抛物方程(Ψ(u))t=uxx+(1-u)-p的初值是单调的,则由极大值原理得到了解在有限时间内仅在左边界发生淬灭,以及淬灭速率的估计.Assume following nonlinear parabolic equation （ψ（u））t=Mss＋（1-u）^-p with nonlinear singulax boundary has a monotonous initial value, by applying Maximum Principle, quenching which only took place on the left boundary in finite time was proved and some estimations of quenching rate were also derived.

关 键 词：非线性抛物方程 淬灭速率 淬灭时间 淬灭集 非线性奇异边界 极大值原理 

分 类 号：O175.26[理学—数学] O175.25[理学—基础数学]