Existence and regularity of solutions in nonlinear wave equations

Geng Chen; Yannan Shen

doi:10.3934/dcds.2015.35.3327

Article Contents

2015, Volume 35, Issue 8: 3327-3342. Doi: 10.3934/dcds.2015.35.3327

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Existence and regularity of solutions in nonlinear wave equations

Geng Chen^1, and
Yannan Shen^2,

1.
School of Mathematics, Georgia Institute of Technology, Atlanta, Ga. 30332
2.
Department of Mathematical Sciences, University of Texas at Dallas, Richardson, TX, 75080

Received: August 31, 2014

Revised: September 30, 2014

Published: May 2017

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Abstract

In this paper, we study the global existence and regularity of Hölder continuous solutions for a series of nonlinear partial differential equations describing nonlinear waves.

Keywords:

Mathematics Subject Classification: Primary: 35L05; Secondary: 35L60.

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