Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Slim Chaabane"'
Publikováno v:
Mathematics, Vol 11, Iss 8, p 1955 (2023)
We consider a nonlinear variational elliptic problem with critical nonlinearity on a bounded domain of Rn,n≥3 and mixed Dirichlet–Neumann boundary conditions. We study the effect of the domain’s topology on the existence of solutions as Bahri
Externí odkaz:
https://doaj.org/article/8ec9ce462d8444f2bb54a2371bffbd71
Autor:
Imed Feki, Slim Chaabane
Publikováno v:
Czechoslovak Mathematical Journal. 64:351-363
We prove some optimal logarithmic estimates in the Hardy space H∞(G) with Holder regularity, where G is the open unit disk or an annular domain of ℂ. These estimates extend the results established by S.Chaabane and I.Feki in the Hardy-Sobolev spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::693b3914b91f1c4ddb9835121ad4dbb5
https://doi.org/10.1007/s10587-014-0106-9
https://doi.org/10.1007/s10587-014-0106-9
Autor:
Imed Feki, Slim Chaabane
Publikováno v:
Comptes Rendus Mathematique. 347:1001-1006
We prove sharp logarithmic estimates of optimal type in the Hardy–Sobolev spaces Hk,∞ (k∈N∗), thus extending earlier cases. These estimations are used in particular to establish logarithmic stability results for the Cauchy problem and the inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f876d04c5f1bd68c7fcc76faad545f45
https://doi.org/10.1016/j.crma.2009.07.018
https://doi.org/10.1016/j.crma.2009.07.018
Publikováno v:
Comptes Rendus Mathematique. 346:107-112
We are interested in finding out the best way to smooth noisy data using cubic B-splines. Two small parameters are involved: the noise level ϵ, and the splines path h. The error in maximum norm between the actual data and the smoothed noisy ones is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53a27023f6c4a5857338af5f749f387c
https://doi.org/10.1016/j.crma.2007.10.045
https://doi.org/10.1016/j.crma.2007.10.045
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 66:2618-2634
Optimal control of time dependent fluid flow governed by the incompressible Navier–Stokes equations is considered. A cost functional based on a local dynamical systems characterization of vortices is investigated. The resulting functional is a non-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fb63a380e08c0c590115374ff54d3c4
https://doi.org/10.1016/j.na.2006.03.044
https://doi.org/10.1016/j.na.2006.03.044
Publikováno v:
Comptes Rendus Mathematique. 341:147-152
Optimal control of time-dependent fluid-flow governed by the incompressible Navier–Stokes model is considered. A cost functional based on a local dynamical systems characterization of vortices is investigated. The resulting functional is a non-conv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db3cd9c1b3386e54b33cc01cd550e6a8
https://doi.org/10.1016/j.crma.2005.05.028
https://doi.org/10.1016/j.crma.2005.05.028
Publikováno v:
Inverse Problems. 20:1083-1097
We investigate an optimization problem (OP) in a non-standard form: the cost functional measures the L1 distance between the solution u of the direct Robin problem and a function f L1(M). After proving positivity, monotonicity and control properties
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::735ae0494275651291c6618ec154e608
https://doi.org/10.1088/0266-5611/20/4/006
https://doi.org/10.1088/0266-5611/20/4/006
Publikováno v:
Comptes Rendus Mathematique. 337:771-776
We investigate the inverse problem of identifying the Robin parameter ϕ inv by measuring the electrostatic potential f on a part M of the accessible boundary of a two-dimesional domain. After proving an identifiability result, the inverse problem is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e2cfe017a1d8bb12dfe91e937a2a977
https://doi.org/10.1016/j.crma.2003.10.023
https://doi.org/10.1016/j.crma.2003.10.023
Publikováno v:
Inverse Problems. 20:47-59
We establish some global stability results together with logarithmic estimates in Sobolev norms for the inverse problem of recovering a Robin coefficient on part of the boundary of a smooth 2D domain from overdetermined measurements on the complement
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b460d3011aee95e77e880eff0efc8cf8
https://doi.org/10.1088/0266-5611/20/1/003
https://doi.org/10.1088/0266-5611/20/1/003
Publikováno v:
Journal of Inverse and Ill-posed Problems. 11:33-57
We consider the inverse problem of identifying a Robin coefficient on some part of the boundary of a smooth 2D domain from overdetermined data available on the other part of the boundary, for Laplace equation in the domain. Using tools from complex a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::098682e428448f4467c2577cab850c50
https://doi.org/10.1515/156939403322004928
https://doi.org/10.1515/156939403322004928