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math.AP2025
The initial-to-final-state inverse problem with unbounded potentials and Strichartz estimates
Pedro Caro, Alberto Ruiz
The initial-to-final-state inverse problem consists in determining a quantum Hamiltonian assuming the knowledge of the state of the system at some fixed time, for every initial sta…
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…
math.AP2024
Homogenization on parallelizable Riemannian manifolds
Daniel Faraco, Luis Guijarro, Yaroslav Kurylev +1
We consider the problem of finding the homogenization limit of oscillating linear elliptic equations on an arbitrary parallelizable manifold . We replicate the concept of…