Jose F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuan
{"title":"具有非单调非线性的半线性波动方程","authors":"Jose F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuan","doi":"10.58997/ejde.sp.02.c1","DOIUrl":null,"url":null,"abstract":"We prove the existence of weak solutions to a semilinear wave with non-monotone asymptotically linear nonlinearity when the forcing is dominated by a trigonometric polynomial. See also https://ejde.math.txstate.edu/special/02/c1/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"47 1","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"semilinear wave equation with non-monotone nonlinearity\",\"authors\":\"Jose F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuan\",\"doi\":\"10.58997/ejde.sp.02.c1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove the existence of weak solutions to a semilinear wave with non-monotone asymptotically linear nonlinearity when the forcing is dominated by a trigonometric polynomial. See also https://ejde.math.txstate.edu/special/02/c1/abstr.html\",\"PeriodicalId\":49213,\"journal\":{\"name\":\"Electronic Journal of Differential Equations\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Journal of Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.sp.02.c1\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.58997/ejde.sp.02.c1","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
semilinear wave equation with non-monotone nonlinearity
We prove the existence of weak solutions to a semilinear wave with non-monotone asymptotically linear nonlinearity when the forcing is dominated by a trigonometric polynomial. See also https://ejde.math.txstate.edu/special/02/c1/abstr.html
期刊介绍:
All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.