Zobrazeno 1 - 10
of 207
pro vyhledávání: '"Barcelo, Juan A."'
In this paper, we investigate properties of unique continuation for hyperbolic Schr\"odinger equations with time-dependent complex-valued electric fields and time-independent real magnetic fields. We show that positive masses inside of a bounded regi
Externí odkaz:
http://arxiv.org/abs/2306.05084
In this work we illustrate a number of properties of the Born approximation in the three-dimensional Calder\'on inverse conductivity problem by numerical experiments. The results are based on an explicit representation formula for the Born approximat
Externí odkaz:
http://arxiv.org/abs/2205.15587
Publikováno v:
J. Funct. Anal. Vol. 283(12), 2022
Uniqueness and reconstruction in the three-dimensional Calder\'on inverse conductivity problem can be reduced to the study of the inverse boundary problem for Schr\"odinger operators $-\Delta +q $. We study the Born approximation of $q$ in the ball,
Externí odkaz:
http://arxiv.org/abs/2109.06607
We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schr\"odinger equation with a bounded time-dependent complex electric potential and a time-independent vector magnetic potential. We prove that, if a suitable ge
Externí odkaz:
http://arxiv.org/abs/2107.10782
Autor:
Barceló, Juan A., Castro, Carlos
We propose a numerical method to approximate the scattering amplitudes for the elasticity system with a non-constant matrix potential in dimensions $d=2$ and $3$. This requires to approximate first the scattering field, for some incident waves, which
Externí odkaz:
http://arxiv.org/abs/2105.05741
We consider the Schr\"odinger operator with a potential q on a disk and the map that associates to q the corresponding Dirichlet to Neumann (DtN) map. We give some numerical and analytical results on the range of this map and its stability, for the p
Externí odkaz:
http://arxiv.org/abs/1903.09428
Autor:
Barceló, Juan A., Castro, Carlos, Luque, Teresa, Meroño, Cristóbal J., Ruiz, Alberto, Vilela, María de la Cruz
We present a uniqueness result in dimensions $2$ and $3$ for the inverse fixed angle scattering problem associated to the Schr\"odinger operator $-\Delta+q$, where $q$ is a small real valued potential with compact support in the Sobolev space $W^{\be
Externí odkaz:
http://arxiv.org/abs/1811.03443
We introduce a new iterative method to recover a real compact supported potential of the Schr\"odinger operator from their fixed angle scattering data. The method combines a fixed point argument with a suitable approximation of the resolvent of the S
Externí odkaz:
http://arxiv.org/abs/1807.04820
Publikováno v:
In Journal of Functional Analysis 15 December 2022 283(12)
