An inverse spectral problem for a fractional Schrödinger operator

DOI10.1007/s00013-023-01832-7OpenAlexW4320485102MaRDI QIDQ2694006

Mourad Choulli

Publication date: 27 March 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.12830

zbMATH Keywords

Laplace-Beltrami operatorcompact Riemannian manifold with boundaryinternal spectral datasource-to-solution operator

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Fractional partial differential equations (35R11)

Cites Work

• Harnack's inequality for fractional nonlocal equations
• Characterization of the domain of fractional powers of a class of elliptic differential operators with feedback boundary conditions
• Correlation based passive imaging with a white noise source
• Unique continuation for fractional orders of elliptic equations
• The fractional Calderón problem: low regularity and stability
• A Borg-Levinson theorem for magnetic Schrödinger operators on a Riemannian manifold
• The Calderón problem for the fractional Schrödinger equation
• Determining Coefficients in a Class of Heat Equations via Boundary Measurements
• The Calderón problem for variable coefficients nonlocal elliptic operators
• The asymptotic formula for the trace of green operators of elliptic operators on compact manifold

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