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math.AP2026
The fractional Calderón problem on finite Cayley graphs
Li Li
We study a Calderón-type inverse problem for the spectral fractional Laplacian on finite Cayley graphs. For a known self-adjoint operator, recovery from a single measurement reduce…
math.AP2025
An inverse problem for the fractional Allen-Cahn equation
Li Li
We study an inverse problem for the fractional Allen-Cahn equation. Our formulation and arguments rely on the asymptotics for the fractional equation and unique continuation proper…
math.AP2024
An inverse problem for the space-time fractional Schrödinger equation on closed manifolds
Li Li
We formulate an inverse problem for an uncoupled space-time fractional Schrödinger equation on closed manifolds. Our main goal is to determine the fractional powers and the Riemann…