{"title":"带参数的准线性薛定谔方程解的不存在性","authors":"Hongwang Yu, Yunfeng Wei, Caisheng Chen, Qiang Chen","doi":"10.1002/mma.10452","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the class of quasilinear Schrödinger equations: <jats:disp-formula> </jats:disp-formula>which models the self‐channeling of a high‐power ultra short laser in matter provided , where is a parameter, and . Under some appropriate assumptions on , we establish the nonexistence of solutions for the above problem.","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonexistence of solutions to quasilinear Schrödinger equations with a parameter\",\"authors\":\"Hongwang Yu, Yunfeng Wei, Caisheng Chen, Qiang Chen\",\"doi\":\"10.1002/mma.10452\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the class of quasilinear Schrödinger equations: <jats:disp-formula> </jats:disp-formula>which models the self‐channeling of a high‐power ultra short laser in matter provided , where is a parameter, and . Under some appropriate assumptions on , we establish the nonexistence of solutions for the above problem.\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1002/mma.10452\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1002/mma.10452","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter
This paper is concerned with the class of quasilinear Schrödinger equations: which models the self‐channeling of a high‐power ultra short laser in matter provided , where is a parameter, and . Under some appropriate assumptions on , we establish the nonexistence of solutions for the above problem.