{"title":"Global wellposedness for 2D quasilinear wave without Lorentz","authors":"Xinyue Cheng, Dong Li, Jiao Xu, Dongbing Zha","doi":"10.4310/dpde.2022.v19.n2.a2","DOIUrl":null,"url":null,"abstract":"We consider the two-dimensional quasilinear wave equations with standard nullform type quadratic nonlinearities. We prove global wellposedness without using the Lorentz boost vector fields.","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2021-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamics of Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/dpde.2022.v19.n2.a2","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 3
Abstract
We consider the two-dimensional quasilinear wave equations with standard nullform type quadratic nonlinearities. We prove global wellposedness without using the Lorentz boost vector fields.
期刊介绍:
Publishes novel results in the areas of partial differential equations and dynamical systems in general, with priority given to dynamical system theory or dynamical aspects of partial differential equations.