4 papers
Hardy spaces for the Lamé equation
Juan Antonio Barceló, Salvador Peréz-Esteva, Emilio Marmolejo-Olea +1
We study, for , the Hardy space $\bm{h}_e^p(\B)$, the elastic analogue of the classical Hardy spaces of harmonic functions in the unit ball of .…
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…
A priori estimates of Mizohata-Takeuchi type for the Navier-Lamé operator
Juan Antonio Barceló, Alberto Ruiz, Mari Cruz Vilela +1
The Mizohata-Takeuchi conjecture for the resolvent of the Navier-Lamé equation is a weighted estimate with weights in the so-called Mizohata-Takeuchi class for this operator when o…
Unique Continuation Properties from one time for hyperbolic Schrödinger equations
Juan Antonio Barceló, Biagio Cassano, Luca Fanelli
In this paper, we investigate properties of unique continuation for hyperbolic Schrödinger equations with time-dependent complex-valued electric fields and time-independent real ma…