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Main Authors: Cai, Hong, Chen, Geng, Du, Yi, Shen, Yannan
Format: Preprint
Published: 2020
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Online Access:https://arxiv.org/abs/2007.14582
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author Cai, Hong
Chen, Geng
Du, Yi
Shen, Yannan
author_facet Cai, Hong
Chen, Geng
Du, Yi
Shen, Yannan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2007_14582
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle
Cai, Hong
Chen, Geng
Du, Yi
Shen, Yannan
Analysis of PDEs
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.
title Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle
topic Analysis of PDEs
url https://arxiv.org/abs/2007.14582