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A priori estimates of the solutions of nonlocal boundary value problems for a pseudo-parabolic equation
Beshtokov, M. Kh.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 3.
In this paper we consider nonlocal boundary value problems for a third order pseudo-parabolic equation with variable coefficients in the one-dimensional and multidimensional cases. For nonlocal problems a priori estimates in differential and difference treatment are obtained. These estimates imply uniqueness, stability and convergence of the solution of the difference problem to the solution of the differential problem.
Keywords: boundary value problem, nonlocal condition, a priori estimate, difference scheme, stability and convergence of difference schemes, hyperbolic equation of the third order, pseudo-parabolic equation.
Language: Russian Download the full text
For citation: Beshtokov M. H. A priori estimates of the solutions of nonlocal boundary value problems for a pseudo-parabolic equation. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 15, no. 3, pp.19-36. DOI 10.23671/VNC.2014.3.7349
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