This article is cited in 5 papers

Optimal Control Method for Solving the Cauchy–Neumann Problem for the Poisson Equation

H. F. Guliyev^a, Y. S. Gasimov^a, S. M. Zeynalli<sup>b

a</sup> Institute of Applied Mathematics Baku State University, 23 Zahid Khalilov Str., Baku AZ1148, Azerbaijan
^b Ganja State University, 187 Heydar Aliyev Ave., Ganja, AZ2000, Azerbaijan

Abstract: In the paper, the ill-posed Cauchy–Neumann problem is considered for the Poisson equation. The problem is reduced to the optimal control problem that is regularized. Optimization methods are applied to the solution of the obtained problem.

Key words and phrases: Ill-posed problem, Cauchy–Neumann problem, optimal control method, Poisson equation.

MSC: Primary 35J05, 35J25; Secondary 49J20, 49K20

Received: 27.09.2013

Language: English

DOI: 10.15407/mag10.04.412

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