A. V. Urazaeva, V. E. Fedorov, “On the Well-Posedness of the Prediction-Control Problem for Certain Systems of Equations”, Mat. Zametki, 85:3 (2009), 440–450; Math. Notes, 85:3 (2009), 426

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Matematicheskie Zametki, 2009, Volume 85, Issue 3, Pages 440–450
DOI: https://doi.org/10.4213/mzm4345 (Mi mzm4345)

This article is cited in 17 scientific papers (total 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

Full-text PDF (529 kB) Citations (17)

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DOI: https://doi.org/10.4213/mzm4345

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.

Received: 27.12.2007

English version:
Mathematical Notes, 2009, Volume 85, Issue 3, Pages 426–436
DOI: https://doi.org/10.1134/S0001434609030134

Bibliographic databases:

UDC: 517.9

Language: Russian

Citation: A. V. Urazaeva, V. E. Fedorov, “On the Well-Posedness of the Prediction-Control Problem for Certain Systems of Equations”, Mat. Zametki, 85:3 (2009), 440–450; Math. Notes, 85:3 (2009), 426–436

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm4345

https://doi.org/10.4213/mzm4345

https://www.mathnet.ru/eng/mzm/v85/i3/p440

This publication is cited in the following 17 articles:

V. E. Fedorov, A. V. Nagumanova, “Inverse Linear Problems for a Certain Class of Degenerate Fractional Evolution Equations”, J Math Sci, 260:3 (2022), 371
Fedorov V.E. Nagumanova A.V. Avilovich A.S., “A Class of Inverse Problems For Evolution Equations With the Riemann-Liouville Derivative in the Sectorial Case”, Math. Meth. Appl. Sci., 44:15 (2021), 11961–11969
Fedorov V.E. Nagumanova V A. Kostic M., “A Class of Inverse Problems For Fractional Order Degenerate Evolution Equations”, J. Inverse Ill-Posed Probl., 29:2 (2021), 173–184
Fedorov V.E., Ivanova N.D., “Inverse Problems For a Class of Linear Sobolev Type Equations With Overdetermination on the Kernel of Operator At the Derivative”, J. Inverse Ill-Posed Probl., 28:1 (2020), 53–61
Fedorov V.E. Kostic M., “Identification Problem For Strongly Degenerate Evolution Equations With the Gerasimov-Caputo Derivative”, Differ. Equ., 56:12 (2020), 1613–1627
Fedorov V.E. Nazhimov R.R., “Inverse Problems For a Class of Degenerate Evolution Equations With Riemann - Liouville Derivative”, Fract. Calc. Appl. Anal., 22:2 (2019), 271–286
V. E. Fedorov, A. V. Nagumanova, “Obratnaya zadacha dlya evolyutsionnogo uravneniya s drobnoi proizvodnoi Gerasimova–Kaputo v sektorialnom sluchae”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 28 (2019), 123–137
V. E. Fedorov, A. V. Nagumanova, “Lineinye obratnye zadachi dlya odnogo klassa vyrozhdennykh evolyutsionnykh uravnenii drobnogo poryadka”, Materialy IV Mezhdunarodnoi nauchnoi konferentsii “Aktualnye problemy prikladnoi matematiki”. Kabardino-Balkarskaya respublika, Nalchik, Prielbruse, 22–26 maya 2018 g. Chast III, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 167, VINITI RAN, M., 2019, 97–111
Fedorov V.E. Ivanova N.D., “Identification Problem For Degenerate Evolution Equations of Fractional Order”, Fract. Calc. Appl. Anal., 20:3 (2017), 706–721
V. V. Vasil'ev, S. I. Piskarev, N. Yu. Selivanova, “Integrated Semigroups and $C$ -Semigroups and Their Applications”, J. Math. Sci. (N. Y.), 230:4 (2018), 513–646
Fedorov V.E., Ivanova N.D., “Identification problem for a degenerate evolution equation with overdetermination on the solution semigroup kernel”, Discret. Contin. Dyn. Syst.-Ser. S, 9:3 (2016), 687–696
S. G. Pyatkov, S. N. Shergin, “On some mathematical models of filtration theory”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:2 (2015), 105–116
A. Sh. Lyubanova, “Inverse problem for a pseudoparabolic equation with integral overdetermination conditions”, Differ. Equ., 50:4 (2014), 502–512
N. D. Ivanova, “Inverse problem for a linearized quasi-stationary phase field model with degeneracy”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 6:2 (2013), 128–132
Ivanova N.D., Fedorov V.E., Komarova K.M., “Nelineinaya obratnaya zadacha dlya sistemy Oskolkova, linearizovannoi v okrestnosti statsionarnogo resheniya”, Vestn. Chelyabinskogo gos. un-ta, 2012, no. 26, 49–70
N. D. Ivanova, V. E. Fedorov, K. M. Komarova, “Nelineinaya obratnaya zadacha dlya sistemy Oskolkova, linearizovannoi v okrestnosti statsionarnogo resheniya”, Vestnik ChelGU, 2012, no. 15, 49–70
M. V. Falaleev, “Abstraktnaya zadacha prognoz-upravlenie s vyrozhdeniem v banakhovykh prostranstvakh”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 3:1 (2010), 126–132

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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