{"title":"二维非洛伦兹拟线性波的全局适定性","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":"{\"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}","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}
Global wellposedness for 2D quasilinear wave without Lorentz
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.