On a Neumann boundary control in a parabolic system

Boundary value problems

ule S ener¹  Murat Subai² 

[1] Department of Mathematics, Science Faculty, Atatürk University, Erzurum, Turkey

关键词: second-order parabolic equations;    optimal control problems;    regularization;    35K20;    49J20;    65J20;   

DOI  :  10.1186/s13661-015-0430-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we have dealt with controlling a boundary condition of a parabolic system in one dimension. This control aims to find the best appropriate right-hand side boundary function which ensures the closeness between the solution of system at final time and the desired target for the solution. Since these types of problems are ill posed, we have used a regularized solution. By numerical examples we have tested the theoretical results.

【 授权许可】

CC BY