{"title":"一类具有脉冲作用的非局部狄利克雷问题:解的增长估计","authors":"J. C. Ferreira, M. Pereira","doi":"10.5802/CRMATH.109","DOIUrl":null,"url":null,"abstract":"Through this paper we deal with the asymptotic behaviour as t→ +∞ of the solutions for the nonlocal diffusion problem with impulsive actions and Dirichlet condition. We establish a decay rate for the solutions assuming appropriate hypotheses on the impulsive functions and the nonlinear reaction.","PeriodicalId":10620,"journal":{"name":"Comptes Rendus Mathematique","volume":"79 1","pages":"1119-1128"},"PeriodicalIF":0.8000,"publicationDate":"2021-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A nonlocal Dirichlet problem with impulsive action: estimates of the growth for the solutions\",\"authors\":\"J. C. Ferreira, M. Pereira\",\"doi\":\"10.5802/CRMATH.109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Through this paper we deal with the asymptotic behaviour as t→ +∞ of the solutions for the nonlocal diffusion problem with impulsive actions and Dirichlet condition. We establish a decay rate for the solutions assuming appropriate hypotheses on the impulsive functions and the nonlinear reaction.\",\"PeriodicalId\":10620,\"journal\":{\"name\":\"Comptes Rendus Mathematique\",\"volume\":\"79 1\",\"pages\":\"1119-1128\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2021-01-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus Mathematique\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5802/CRMATH.109\",\"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":"Comptes Rendus Mathematique","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/CRMATH.109","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
A nonlocal Dirichlet problem with impulsive action: estimates of the growth for the solutions
Through this paper we deal with the asymptotic behaviour as t→ +∞ of the solutions for the nonlocal diffusion problem with impulsive actions and Dirichlet condition. We establish a decay rate for the solutions assuming appropriate hypotheses on the impulsive functions and the nonlinear reaction.
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The Comptes Rendus - Mathématique 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, …
Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English.
The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.
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