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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 o…