Geodesic
On the Well-Posedness of the Prediction-Control Problem for Certain Systems of Equations
Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 440-450

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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. 
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     author = {A. V. Urazaeva and V. E. Fedorov},
     title = {On the {Well-Posedness} of the {Prediction-Control} {Problem} for {Certain} {Systems} of {Equations}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a11/}
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A. V. Urazaeva; V. E. Fedorov. On the Well-Posedness of the Prediction-Control Problem for Certain Systems of Equations. Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 440-450. http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a11/