GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS

@article{Han2013GLOBALEO,
  title={GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS},
  author={X. Han},
  journal={Bulletin of The Korean Mathematical Society},
  year={2013},
  volume={50},
  pages={275-283}
}
  • X. Han
  • Published 2013
  • Mathematics
  • Bulletin of The Korean Mathematical Society
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 , 
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