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𝐿𝑝-ESTIMATES FOR SINGULAR INTEGRAL OPERATORS ALONG CODIMENSION ONE SUBSPACES

(2025-01-01)

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THE INITIAL-TO-FINAL-STATE INVERSE PROBLEM WITH UNBOUNDED POTENTIALS AND STRICHARTZ ESTIMATES

Caro, P.; Ruiz, A. (2025-01-01)

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 state. We formulated this problem to establi...

Quantitative unique continuation for non-regular perturbations of the Laplacian

Caro, P.; Ervedoza, S.; Thabouti, L. (2024-01-01)

In this work, we investigate the quantitative estimates of the unique continuation property for solutions of an elliptic equation ∆u = Vu+ W1 · ∇u+ div (W2u) in an open, connected subset of Rd, where d 3. Here, V ∈ Lq0 , ...

THE INITIAL-TO-FINAL-STATE INVERSE PROBLEM WITH TIME-INDEPENDENT POTENTIALS

Cañizares, M.; Caro, P.; Parissis, I.; Zacharopoulos, T. (2025-01-01)

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 state. This problem was formulated by Caro an...