GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS
GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS
复制标题
DOI：
10.4134/bkms.2013.50.1.275
复制
发表时间：
2013-01
影响因子：
0.5
通讯作者：
Xiaosen Han
中科院分区：
文献类型：
--
作者：
Xiaosen Han
本文研究了一类对数波动方程的初边值问题。利用Galerkin方法、对数Sobolev不等式和紧性定理证明了该问题弱解的整体存在性。本文研究初边值问题8utt−�u+u−ulogjuj2+ut+juj2u=0，(x，t)2�(0，T)，u=0，(x，t)2@�(0，T)，u(x，0)=u0(X)，ut(x，0)=u1(X)，x2，
In this paper we investigate an initial boundary value prob- lem of a logarithmic wave equation. We establish the global existence of weak solutions to the problem by using Galerkin method, logarithmic Sobolev inequality and compactness theorem. In this paper we study the global existence of weak solutions for the initial boundary value problem 8 utt − �u + u − ulogjuj 2 + ut + juj 2 u = 0, (x,t) 2 � (0,T), u = 0, (x,t) 2 @ � (0,T), u(x,0) = u 0 (x), ut(x,0) = u 1 (x), x 2 ,