On the well-posedness of the prediction-control problem for certain systems of equations

DOI10.1134/S0001434609030134zbMath1185.35337MaRDI QIDQ1033944

A. V. Urazaeva, Vladimir Evgenyevich Fedorov

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Banach spaceanalytic semigroupNavier-Stokes system of equationsprediction-control problemseepage of liquidsstrongly \((L, p)\)-sectorial operator

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) Applications of operator theory to differential and integral equations (47N20)

Related Items (11)

Identification problem for degenerate evolution equations of fractional order ⋮ Identification problem for a degenerate evolution equation with overdetermination on the solution semigroup kernel ⋮ Inverse linear problems for a certain class of degenerate fractional evolution equations ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ A class of inverse problems for fractional order degenerate evolution equations ⋮ Inverse problem for a pseudoparabolic equation with integral overdetermination conditions ⋮ Linear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial case ⋮ Identification problem for strongly degenerate evolution equations with the Gerasimov-Caputo derivative ⋮ Inverse problem for evolutionary equation with the Gerasimov-Caputo fractional derivative in the sectorial case ⋮ Inverse problems for a class of linear Sobolev type equations with overdetermination on the kernel of operator at the derivative ⋮ Inverse problems for a class of degenerate evolution equations with Riemann - Liouville derivative

Cites Work

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• On the identities of analytic semigroups of operators with kernels
• Relatively strongly \(p\)-sectorial linear operators
• The semigroup method for inverse, nonlocal, and nonclassical problems. prediction-control and prediction-observation for evolution equations. I
• Linear Sobolev type equations and degenerate semigroups of operators
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Some inverse problems for parabolic equations with changing time direction
• An inverse problem for linear Sobolev type equations
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations

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