English

Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle

Analysis of PDEs 2024-06-19 v3

Abstract

In this paper, we prove the uniqueness of energy conservative Holder 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.

Keywords

Cite

@article{arxiv.2007.14582,
  title  = {Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle},
  author = {Hong Cai and Geng Chen and Yi Du and Yannan Shen},
  journal= {arXiv preprint arXiv:2007.14582},
  year   = {2024}
}

Comments

Change a reference from version 2