{"title":"变指数正初始能量伪抛物型方程解的非整体存在性","authors":"Menglan Liao","doi":"10.1016/j.crme.2019.09.003","DOIUrl":null,"url":null,"abstract":"<div><p>This paper deals with a pseudo-parabolic equation involving variable exponents under Dirichlet boundary value condition. The author proves that the solution is not global in time when the initial energy is positive. This result extends and improves a recent result obtained by Di et al. (2017) <span>[1]</span>.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 10","pages":"Pages 710-715"},"PeriodicalIF":1.0000,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.09.003","citationCount":"18","resultStr":"{\"title\":\"Non-global existence of solutions to pseudo-parabolic equations with variable exponents and positive initial energy\",\"authors\":\"Menglan Liao\",\"doi\":\"10.1016/j.crme.2019.09.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper deals with a pseudo-parabolic equation involving variable exponents under Dirichlet boundary value condition. The author proves that the solution is not global in time when the initial energy is positive. This result extends and improves a recent result obtained by Di et al. (2017) <span>[1]</span>.</p></div>\",\"PeriodicalId\":50997,\"journal\":{\"name\":\"Comptes Rendus Mecanique\",\"volume\":\"347 10\",\"pages\":\"Pages 710-715\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2019-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.crme.2019.09.003\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus Mecanique\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S163107211930138X\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mecanique","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S163107211930138X","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Non-global existence of solutions to pseudo-parabolic equations with variable exponents and positive initial energy
This paper deals with a pseudo-parabolic equation involving variable exponents under Dirichlet boundary value condition. The author proves that the solution is not global in time when the initial energy is positive. This result extends and improves a recent result obtained by Di et al. (2017) [1].
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The Comptes rendus - Mécanique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, …
The journal publishes original and high-quality research articles. These can be in either in English or in French, with an abstract in both languages. An abridged version of the main text in the second language may also be included.
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