二分量延迟Gray-Scott方程弱解的存在唯一性  

The Existence and Uniqueness of Weak Solutions for Two-compartment Retarded Gray-Scott Equation

作　　者：姬春婷 辛杰[1] 刘辉 JI Chunting;XIN Jie;LIU Hui(School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China)

机构地区：[1]曲阜师范大学数学科学学院

出　　处：《鲁东大学学报（自然科学版）》2020年第1期1-8,共8页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371183,11901342);山东省自然科学基金(ZR2013AM004,ZR2018QA002);中国博士后科学基金(2019M652350)

摘　　要：本文对空间维数n≤3的有界区域上具有Neumman边界条件的二分量延迟Gray-Scott方程进行了研究,并通过使用一种新的分解方法证明了二分量延迟Gray-Scott方程弱解的存在性和唯一性.Two-compartment retarded Gray-Scott equation with the Neumann boundary conditions on a bounded domain of space dimensionn≤3 was studied in this article.The existence and uniqueness of weak solutions for two-compartment retarded Gray-Scott equation were proved by applying a new decomposition method.

关 键 词：二分量 延迟Gray-Scott方程 弱解 存在性 唯一性 

分 类 号：O29[理学—应用数学]