3 papers
math.NA2026
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…
math.FA2025
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 .…
math.AP2025
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…