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

作　　者：Xiu DONG Jian Ping WANG Ming Xin WANG 

机构地区：[1]School of Mathematics,Harbin Institute of Technology,Harbin 150001,P.R.China [2]School of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,P.R.China [3]School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第12期2265-2284,共20页数学学报（英文版）

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

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.

关 键 词：Local-nonlocal diffusions different free boundaries existence-uniqueness global solution 

分 类 号：O175[理学—数学] Q141[理学—基础数学]