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http://dx.doi.org/10.4134/BKMS.2013.50.1.275

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 275-283 More about this Journal
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
logarithmic nonlinearity; global existence; logarithmic Sobolev inequality; logarithmic Gronwall inequality;
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