{"title":"非局部正解唯一性的简单证明","authors":"Ming-Ming Fan, Jian-Wen Sun","doi":"10.1016/j.nonrwa.2024.104233","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we prove a general uniqueness result for the positive solution of nonlocal dispersal equations. Our simple and elementary proof simplifies previously known proofs based on eigenvalue theory and solution estimates.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"82 ","pages":"Article 104233"},"PeriodicalIF":1.8000,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A simple proof of uniqueness for the nonlocal positive solutions\",\"authors\":\"Ming-Ming Fan, Jian-Wen Sun\",\"doi\":\"10.1016/j.nonrwa.2024.104233\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we prove a general uniqueness result for the positive solution of nonlocal dispersal equations. Our simple and elementary proof simplifies previously known proofs based on eigenvalue theory and solution estimates.</div></div>\",\"PeriodicalId\":49745,\"journal\":{\"name\":\"Nonlinear Analysis-Real World Applications\",\"volume\":\"82 \",\"pages\":\"Article 104233\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Real World Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S146812182400172X\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S146812182400172X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A simple proof of uniqueness for the nonlocal positive solutions
In this paper, we prove a general uniqueness result for the positive solution of nonlocal dispersal equations. Our simple and elementary proof simplifies previously known proofs based on eigenvalue theory and solution estimates.
期刊介绍:
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.