Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2013; 50(1): 275-283

Printed January 31, 2013

https://doi.org/10.4134/BKMS.2013.50.1.275

Copyright © The Korean Mathematical Society.

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

Xiaosen Han

Henan University

Abstract

Go to

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

MSC numbers: 35L20, 35L70, 58G16

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

more +