Abstract

In this paper, we prove the uniqueness of an energy conservative Hölder continuous weak solution to a general quasilinear wave equation by the analysis of characteristics. This result has no restriction on the size of solutions, i.e., it is a large data result. This paper is a companion paper of Cai, Chen, and Shen [J. Math. Pures Appl. (submitted); arXiv:2007.15201] addressing the Lipschitz continuous dependence of solution.

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