Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS

  • Han, Xiaosen (Institute of Contemporary Mathematics Henan University, School of Mathematics and Information Science Henan University)
  • Received : 2011.08.03
  • Published : 2013.01.31
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Abstract

In this paper we investigate an initial boundary value problem 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.

Keywords

References

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