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Global existence of weak solutions for a logarithmic wave equation arising from Q-ball dynamics

Xiaosen Han
대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회보 (Bulletin of the KMS)|제50권 제1호|pp. 275-283

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참고문헌

키워드

global existencelogarithmic nonlinearitylogarithmic Sobolev inequalitylogarithmic Gronwall inequality
주제분류수학

초록

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.

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.

참고문헌 (23)

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