Boundary Control for Cooperative Elliptic Systems under Conjugation Conditions

作     者：H. M. Serag L. M. Abd-Elrhman A. A. Alsaban H. M. Serag;L. M. Abd-Elrhman;A. A. Alsaban

作者机构：Department of Mathematics Faculty of Science Al-Azhar University Nasr City Cairo Egypt  Nasr City Cairo Egypt Department of Mathematics Faculty of Science Ibb University Ibb Yemen 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2021年第11卷第5期

页      面：457-471页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Cooperative Systems Conjugation Conditions Dirichlet and Neumann Conditions Existence and Uniqueness of Solutions Boundary Control 

摘      要：The existence and uniqueness of the state for 2 × 2 Dirichlet cooperative elliptic systems under conjugation conditions are proved using Lax-Milgram lemma, then the boundary control for these systems is discussed. The set of equations and inequalities that characterizes this boundary control is found by theory of Lions, Sergienko and Deineka. The problem for cooperative Neumann elliptic systems under conjugation conditions is also considered. Finally, the problem for n × n cooperative elliptic systems under conjugation conditions is established.