%0 Journal Article
%T Nehari流形在一类半线性抛物方程爆破中的应用<br>Nehari manifold and application to blow-up for a class of semilinear parabolic equations
%A 刘洋
%A 达朝究
%A 李富明&lt
%A br&gt
%A LIU Yang
%A DA Chao-jiu
%A LI Fu-ming
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.003
%X 摘要： 研究了一类半线性抛物方程的初边值问题,在具有正初始能量的情况下,通过Nehari流形与凸性方法得到了解的有限时间爆破,进而刻画了初始能量与有限时间爆破的关系。<br>Abstract: The initial boundary value problem for a class of semilinear parabolic equations with positive initial energy is studied. The finite time blow-up of solutions is obtained by the Nehari manifold and the convexity method. Moreover, the relationship between initial energy and finite time blow-up of solutions is described
%K Nehari流形
%K 有限时间爆破
%K 半线性抛物方程
%K &lt
%K br&gt
%K semilinear parabolic equations
%K finite time blow-up
%K Nehari manifold
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.003