A. V. Urazaeva, V. E. Fedorov, “On the Well-Posedness of the Prediction-Control Problem for Certain Systems of Equations”, Mat. Zametki, 2009, Volume 85, Issue 3,Pages <nobr>440

This article is cited in 17 papers

On the Well-Posedness of the Prediction-Control Problem for Certain Systems of Equations

A. V. Urazaeva, V. E. Fedorov

Chelyabinsk State University

Abstract: Consider the inverse problem for equations of Sobolev type and their applications to linearized Navier–Stokes systems and phase-field systems. We obtain conditions for the well-defined solvability of these systems.

Keywords: prediction-control problem, Navier–Stokes system of equations, Banach space, strongly $(L,p)$-sectorial operator, analytic semigroup, seepage of liquids.

UDC: 517.9

Received: 27.12.2007

DOI: 10.4213/mzm4345