On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation |
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| Authors: | Ping Zhang Yuxi Zheng |
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| Institution: | (1) Institute of Mathematics, Chinese Academy of Sciences, 100080 Beijing, P. R. China;(2) Department of Mathematics, Indiana University, 47405 Bloomington, Indiana, USA |
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| Abstract: | We prove the global existence and uniqueness of admissible weak solutions to an asymptotic equation of a nonlinear hyperbolic
variational wave equation with nonnegative L
2(ℝ) initial data.
The work of Ping Zhang is supported by the Chinese postdoctor’s foundation, and that of Yuxi Zheng is supported in part by
NSF DMS-9703711 and the Alfred P. Sloan Research Fellows award. |
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| Keywords: | Asymptotic equation Global existence Liquid crystal Mollifier Uniqueness Variational wave equation Weak solutions |
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