This article is cited in 4 papers

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics

A. A. Alikhanov

Kabardino-Balkarian State University, Nalchik, 360004, Russia

Abstract: The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics is studied. A priori estimates for the solutions of the considered problems are obtained by using the method of energy inequalities. Uniqueness and continuous dependence of the solutions on the input data follow from these estimates.

Keywords: nonlocal boundary value problem, equations of mathematical physics, a priori estimates for solutions.

UDC: 517.954

MSC: Primary 34B10; Secondary 35K55, 35L70, 35J60

Original article submitted 28/XII/2012
revision submitted – 12/II/2013

DOI: 10.14498/vsgtu1218

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