American Institute of Mathematical Sciences

August  2015, 35(8): 3327-3342. doi: 10.3934/dcds.2015.35.3327

Existence and regularity of solutions in nonlinear wave equations

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

Received  September 2014 Revised  October 2014 Published  February 2015

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.
Citation: Geng Chen, Yannan Shen. Existence and regularity of solutions in nonlinear wave equations. Discrete & Continuous Dynamical Systems - A, 2015, 35 (8) : 3327-3342. doi: 10.3934/dcds.2015.35.3327
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