Results 91 to 100 of about 1,641,201 (192)
Lipschitz stability for degenerate parabolic systems
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for weakly degenerate coupled parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of
Idriss Boutaayamou +2 more
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Carleman estimates for some elliptic systems [PDF]
Journal of Physics: Conference Series, 2008 A Carleman estimate for a certain first order elliptic system is proved. The proof is elementary and does not rely on pseudo-differential calculus. This estimate is used to prove Carleman estimates for the isotropic Lame system as well as for the isotropic Maxwell system with C1 coefficients.
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Lipschitz stability for linear parabolic systems with interior degeneracy
Electronic Journal of Differential Equations, 2014 In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the ...
Idriss Boutaayamou +2 more
doaj
Boundary Value ProblemsFractional kinetic equations are used to model complex physical processes, including anomalous diffusion, memory effects, and long-range interactions. In this study, a coefficient inverse problem for a fractional kinetic equation is considered.
İsmet Gölgeleyen +2 more
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MathematicsIn this paper, we propose a convexification method for the reversed-time problem of a complex Ginzburg–Landau equation by introducing a new Carleman estimate for the complex Ginzburg–Landau operator, which holds on an arbitrary time interval.
Hanyue Qiao, Ganghua Yuan
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Null controllability of population dynamics with interior degeneracy
Electronic Journal of Differential Equations, 2017 In this article, we study the null controllability of population model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and then we deduce a suitable observability inequality which
Idriss Boutaayamou, Younes Echarroudi
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Results in Control and OptimizationThis work investigates the exponential stability of waves propagating in an annular medium Ω , where the outer boundary Γ 1 is endowed with a significant mass density m > 0 , allowing it to resist changes in motion: if initially moving, it tends to ...
Kalifa Lassana Barry +2 more
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On Carleman estimates with two large parameters [PDF]
Indiana University Mathematics Journal, 2011 We provide a general framework for the analysis and the derivation of Carleman estimates with two large parameters. For an appropriate form of weight functions strong pseudo-convexity conditions are shown to be necessary and sufficient.
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Carleman Estimates for the Lamé System with Stress Boundary Condition
Publications of the Research Institute for Mathematical Sciences, 2007 In this paper, for functions without compact supports, we established Carleman estimates for the two-dimensional non-stationary Lamé system with the stress boundary condition.
Imanuvilov, Oleg Yu., Yamamoto, Masahiro
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, 2006 International audienceFor a two by two reaction-diffusion system on a bounded domain we give a simultaneous stability result for one coefficient and for the initial conditions.
Ramoul, Hichem +5 more
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