This article is cited in 7 papers

A uniqueness theorem for solution of one Dirichlet problem

E. A. Utkina

Chair of Information Technologies in Education, Tatar State Humanitarian Pedagogical University, Kazan, Russia

Abstract: We consider the Dirichlet problem in a four-dimensional domain formed by characteristic surfaces of an equation of the 8th order with the double major partial derivative. We state sufficient conditions for the unique solvability of this problem in terms of control coefficients, basing on the method of a priori estimates.

Keywords: Dirichlet problem, method of a priori estimates.

UDC: 517.956

Received: 16.12.2009
Revised: 02.04.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:5, 51–55

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