1 citations · 1 across the 4 of their papers we have counts for
7 papers
A new addition theorem for the 3-D Navier-Lamé system and its application to the method of fundamental solutions
J. A. Barceló, C. Castro, A. Ruiz +1
We obtain a new addition theorem for the fundamental solution of the Navier-Lamé system in dimension 3 satisfying the Kupradze radiation conditions. This provides an expansion of t…
Live load matrix recovery from scattering data in linear elasticity
J. A. Barceló, C. Castro, M. C. Vilela
We study the numerical approximation of the inverse scattering problem in the two-dimensional homogeneous isotropic linear elasticity with an unknown linear load given by a square…
The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation
J. A. Barceló, M. Folch-Gabayet, T. Luque +2
The purpose of this paper is to characterize all the entire solutions of the homogeneous Helmholtz equation (solutions in ) arising from the Fourier extension operato…
Reproducing kernel for elastic Herglotz functions
Teresa Luque, María de la Cruz Vilela
We study the elastic Herglotz wave functions, which are entire solutions of the spectral Navier equation appearing in the linearized elasticity theory with far-field patterns…
Uniqueness for the inverse fixed angle scattering problem
Juan A. Barceló, Carlos Castro, Teresa Luque +3
We present a uniqueness result in dimensions and for the inverse fixed angle scattering problem associated to the Schrödinger operator , where is a small real val…
A new convergent algorithm to approximate potentials from fixed angle scattering data
Juan A. Barceló, Carlos Castro, Teresa Luque +1
We introduce a new iterative method to recover a real compact supported potential of the Schrödinger operator from their fixed angle scattering data. The method combines a fixed po…
Hardy Uncertainty Principle and unique continuation properties of covariant Schrodinger flows
Juan Antonio Barcelo, Luca Fanelli, Susana Gutierrez +2
We prove a logarithmic convexity result for exponentially weighted -norms of solutions to electromagnetic Schrödinger equation, without needing to assume smallness of the magn…