A. A. Illarionov, L. V. Illarionova, “Analytic solutions of extremal problems for the Laplace's equation”, Dal'nevost. Mat. Zh., 2014, Volume 14, Number 2,Pages <nobr>231

Analytic solutions of extremal problems for the Laplace's equation

A. A. Illarionov^a, L. V. Illarionova^b

^a Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
^b Computer Centre Far-Eastern Branch of RAS

Abstract: We present analytic solutions of extremal problems for the Laplace's equation.

Key words: Laplace's equation, extremal problems, optimal control problems for partial differential equations.

UDC: 517.95

MSC: 35J05

Received: 21.05.2014