{"title":"不变演化方程的L - p - Liouville定理","authors":"A. Kogoj","doi":"10.6092/ISSN.2240-2829/4674","DOIUrl":null,"url":null,"abstract":"Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"5 1","pages":"1-14"},"PeriodicalIF":0.2000,"publicationDate":"2014-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"L p - Liouville theorems for invariant evolution equations\",\"authors\":\"A. Kogoj\",\"doi\":\"10.6092/ISSN.2240-2829/4674\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.\",\"PeriodicalId\":41199,\"journal\":{\"name\":\"Bruno Pini Mathematical Analysis Seminar\",\"volume\":\"5 1\",\"pages\":\"1-14\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2014-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bruno Pini Mathematical Analysis Seminar\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.2240-2829/4674\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bruno Pini Mathematical Analysis Seminar","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.2240-2829/4674","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
L p - Liouville theorems for invariant evolution equations
Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.