具有变指数齐次Dirichlet边界条件的非线性多值抛物型问题重整解的存在唯一性

Gulf Journal of Mathematics Pub Date : 2022-01-14 DOI:10.56947/gjom.v12i1.778

B. A. Kyelem, Arouna Ouedraogo Zongo, F. Zongo

{"title":"具有变指数齐次Dirichlet边界条件的非线性多值抛物型问题重整解的存在唯一性","authors":"B. A. Kyelem, Arouna Ouedraogo Zongo, F. Zongo","doi":"10.56947/gjom.v12i1.778","DOIUrl":null,"url":null,"abstract":"In this paper, we prove the existence and the uniqueness of renormalized solution to a nonlinear multivalued parabolic problem β(u)t - div a(x,∇ u) ∋ f , with homogeneous Dirichlet boundary conditions and L1-data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. Some a-priori estimates are used to obtain our results.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Existence and uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent\",\"authors\":\"B. A. Kyelem, Arouna Ouedraogo Zongo, F. Zongo\",\"doi\":\"10.56947/gjom.v12i1.778\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we prove the existence and the uniqueness of renormalized solution to a nonlinear multivalued parabolic problem β(u)t - div a(x,∇ u) ∋ f , with homogeneous Dirichlet boundary conditions and L1-data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. Some a-priori estimates are used to obtain our results.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v12i1.778\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v12i1.778","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

本文证明了一类具有齐次Dirichlet边界条件和l1数据的非线性多值抛物型问题β(u)t - div a(x，∇u) ~ (f)的重整化解的存在性和唯一性。函数设置涉及可变指数的Lebesgue和Sobolev空间。一些先验估计被用来获得我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Existence and uniqueness of renormalized solutions to nonlinear multivalued parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent

In this paper, we prove the existence and the uniqueness of renormalized solution to a nonlinear multivalued parabolic problem β(u)t - div a(x,∇ u) ∋ f , with homogeneous Dirichlet boundary conditions and L1-data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. Some a-priori estimates are used to obtain our results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Gulf Journal of Mathematics

自引率

0.00%

发文量