Finite time blow-up and global existence of weak solutions for pseudo-parabolic equation with exponential nonlinearity
Finite time blow-up and global existence of weak solutions for pseudo-parabolic equation with exponential nonlinearity
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DOI：
10.11948/2018.105
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发表时间：
2017
影响因子：
1.1
通讯作者：
Q. Long;Jianqing Chen;Ganshan Yang
中科院分区：
文献类型：
--
作者：
Q. Long;Jianqing Chen;Ganshan Yang
本文讨论一类具有指数非线性项的伪抛物型方程ut−4u−4ut+u=f(U)的初边值问题。利用特征函数方法和Galerkin方法证明了弱解的爆破、局部存在性和整体存在性。此外，我们还利用特征函数方法得到了弱解的其他性质。
This paper is concerned with the initial boundary value problem of a class of pseudo-parabolic equation ut − 4u − 4ut + u = f(u) with an exponential nonlinearity. The eigenfunction method and the Galerkin method are used to prove the blow-up, the local existence and the global existence of weak solutions. Moreover, we also obtain other properties of weak solutions by the eigenfunction method.