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math.AP2025
The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness
Giovanni Covi, Ru-Yu Lai, Lili Yan
We study the higher-order fractional Schrödinger equation with local nonlinear perturbations and investigate both the forward and inverse problems. We establish both the Sobolev $H…
math.AP2025
Entanglement principle and fractional Calderón problem for nonlocal parabolic operators
Ru-Yu Lai, Yi-Hsuan Lin, Lili Yan
We examine inverse problems for the variable-coefficient nonlocal parabolic operator , where . This article makes two primary contributions. First,…
math.AP2025
Hölder stability of an inverse spectral problem for the magnetic Schrödinger operator on a simple manifold
Boya Liu, Hadrian Quan, Teemu Saksala +1
We show that on a simple Riemannian manifold, the electric potential and the solenoidal part of the magnetic potential appearing in the magnetic Schrödinger operator can be recover…