Free Boundary Problems with Local-nonlocal Diffusions and Different Free Boundaries Ⅰ: Global Solution

作     者：Xiu DONG Jian Ping WANG Ming Xin WANG Xiu DONG;Jian Ping WANG;Ming Xin WANG

作者机构：School of MathematicsHarbin Institute of TechnologyHarbin 150001P.R.China School of Applied MathematicsXiamen University of TechnologyXiamen 361024P.R.China School of Mathematics and Information ScienceHenan Polytechnic UniversityJiaozuo 454000P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第12期

页      面：2265-2284页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NSFC Grants(Grant Nos.12171120 11971128)。 

主　　题：Local-nonlocal diffusions different free boundaries existence-uniqueness global solution 

摘      要：We investigate a class of ecological models with local-nonlocal diffusions and different free boundaries.This is PartⅠof a two-part series,in which the existence,uniqueness,regularity and estimates of global solution is studied.The spreading-vanishing dichotomy,criteria governing spreading and vanishing,long-time behavior of solution and the estimation of the spreading speed when spreading happens will be studied in the separate PartⅡ.