Zobrazeno 1 - 10
of 27
pro vyhledávání: '"O. Yu. Imanuvilov"'
We prove the global uniqueness in determination of the conductivity, the permeability and the permittivity of two dimensional Maxwell's equations by partial Dirichlet-to-Neumann map limited to an arbitrary subboundary.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/1403.7596
In this article, we provide a modified argument for proving conditional stability for inverse problems of determining spatially varying functions in evolution equations by Carleman estimates. Our method needs not any cut-off procedures and can simpli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2bbdefb9b6bdd60f0560737acd99710
Autor:
Masahiro Yamamoto, O. Yu. Imanuvilov
We consider the Kelvin-Voigt model for the viscoelasticity, and prove a Carleman estimate for functions without compact supports. Then we apply the Carleman estimate to prove the Lipschitz stability in determining a spatial varying function in an ext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::337d4087180ede22263cb59f49899ae6
Publikováno v:
Advances in Mathematics. 281:578-593
For the two-dimensional Schrodinger equation in a bounded domain, we prove uniqueness of the determination of potentials in W p 1 ( Ω ) , p > 2 in the case where we apply all possible Neumann data supported on an arbitrarily non-empty open set Γ ˜
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae5ab2cbe3e0a8129229f7c510921916
https://doi.org/10.1016/j.aim.2015.03.026
https://doi.org/10.1016/j.aim.2015.03.026
Publikováno v:
BIRD: BCAM's Institutional Repository Data
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In this paper we deal with the three-dimensional Navier–Stokes system, posed in a cube. In this context, we prove a result concerning its global approximate controllability by means of boundary controls which act in some part of the boundary.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad06203c6a7dbdfb6676da124f43b092
https://doi.org/10.1016/j.matpur.2012.05.008
https://doi.org/10.1016/j.matpur.2012.05.008
Autor:
Masahiro Yamamoto, O. Yu. Imanuvilov
Publikováno v:
SIAM Journal on Mathematical Analysis. 44:1333-1339
We relax the regularity condition on potentials of the Schrodinger equation in uniqueness results on the inverse boundary value problem which were recently proved in [O. Imanuvilov, G. Uhlmann, and M. Yamamoto, J. Amer. Math. Soc., 23 (2010), pp. 655
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b5b9c8c74f8c8b055f4aac865e6b6cb
https://doi.org/10.1137/11083736x
https://doi.org/10.1137/11083736x
Autor:
Masahiro Yamamoto, O. Yu. Imanuvilov
Publikováno v:
Journal of Inverse and Ill-posed Problems. 13:583-594
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d42fafc570a396da118e901ed45c6fc3
https://doi.org/10.1515/156939405775199488
https://doi.org/10.1515/156939405775199488
Autor:
O. Yu. Imanuvilov, Hyung-Chun Lee
Publikováno v:
SIAM Journal on Control and Optimization. 39:457-477
This article deals with Neumann boundary optimal control problems associated with the Boussinesq equations including solid media. These problems are first put into an appropriate mathematical formulation. Then the existence of optimal solutions is pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4bcdb35a01dbc3537383ee686e0b5a2f
https://doi.org/10.1137/s0363012998347110
https://doi.org/10.1137/s0363012998347110
Autor:
Andrei V. Fursikov, O. Yu. Imanuvilov
Publikováno v:
Russian Mathematical Surveys. 54:565-618
ContentsIntroduction § 1. Statement of the problem. Main results1.1. Exact boundary controllability of the Navier-Stokes equations1.2. Local exact distributed controllability of the Navier-Stokes equations1.3. Exact controllability of the Boussinesq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c54db48f163d6992ba7ef5a2acccc9a
https://doi.org/10.1070/rm1999v054n03abeh000153
https://doi.org/10.1070/rm1999v054n03abeh000153
Autor:
O. Yu. Imanuvilov
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 3:97-131
We study the local exact controllability problem for the Navier-Stokes equations that describe an incompressible fluid flow in a bounded domain with control distributed in an arbitrary fixed subdomain. The result that we obtain in this paper is as fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fb56e6bcb10f19e5b44c377692b2243
https://doi.org/10.1051/cocv:1998104
https://doi.org/10.1051/cocv:1998104