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pro vyhledávání: '"Gaitan, Patricia"'
Autor:
Gaitan, Patricia, Kian, Yavar
We consider the operator $H:= \partial_t -\Delta+V$ in 2D or 3D waveguide. With an adapted global Carleman estimate with singular weight functions we give a stability result for the time dependent part of the potential for this particular geometry. T
Externí odkaz:
http://arxiv.org/abs/1203.1218
Autor:
Cardoulis, Laure, Gaitan, Patricia
This article is devoted to prove a stability result for two independent coefficients for a Schr\"odinger operator in an unbounded strip. The result is obtained with only one observation on an unbounded subset of the boundary and the data of the solut
Externí odkaz:
http://arxiv.org/abs/0911.3300
We consider a $2\times 2$ system of parabolic equations with first and zeroth coupling and establish a Carleman estimate by extra data of only one component without data of initial values. Then we apply the Carleman estimate to inverse problems of de
Externí odkaz:
http://arxiv.org/abs/0809.1542
Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation
Autor:
Gaitan, Patricia
For the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient. The key ingredients are a global Carleman-type estimate, a Poincar\'e-type estimate and an energy estimate with a single observation acting on a
Externí odkaz:
http://arxiv.org/abs/0706.1422
We consider the operator $H:= i \partial_t + \nabla \cdot (c \nabla)$ in an unbounded strip $\Omega$ in $\mathbb{R}^2$, where $c(x,y) \in \mathcal{C}^3(\bar{\Omega})$. We prove adapted a global Carleman estimate and an energy estimate for this operat
Externí odkaz:
http://arxiv.org/abs/math/0612539
Publikováno v:
Preprint du LATP, Universit\'{e} de Provence 04-06 (2006) 1-14
For 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. The key ingredient is a global Carleman-type estimate with a single observation acting on a sub
Externí odkaz:
http://arxiv.org/abs/math/0603484
Autor:
Gaitan, Patricia
Th. 3e cycle--Math. appl.--Aix-Marseille 1, 1987.
Externí odkaz:
http://catalogue.bnf.fr/ark:/12148/cb376052066
Autor:
Cardoulis, Laure, Gaitan, Patricia
Publikováno v:
In Comptes rendus - Mathématique 2010 348(3):149-153
Publikováno v:
In Comptes rendus - Mathématique 2010 348(1):25-29
Publikováno v:
In Comptes rendus - Mathématique 2008 346(11):635-640