A remark on the local uniqueness by the monotonicity based method for the magnetic Schrödinger equation

DOI10.3934/cpaa.2023077zbMath1522.35480OpenAlexW4379231375MaRDI QIDQ6176253

Ryusei Yamashita

Publication date: 22 August 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023077

zbMATH Keywords

inverse boundary value problemmagnetic Schrödinger equationmonotonicity method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• A global uniqueness theorem for an inverse boundary value problem
• Localized potentials in electrical impedance tomography
• Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
• Global uniqueness for a two-dimensional inverse boundary value problem
• Stability estimates for the magnetic Schrödinger operator with partial measurements
• Monotonicity and local uniqueness for the Helmholtz equation
• Determining a magnetic Schrödinger operator from partial Cauchy data
• An Inverse Boundary Value Problem for Schrodinger Operators with Vector Potentials
• Local uniqueness for an inverse boundary value problem with partial data
• Semiclassical Pseudodifferential Calculus and the Reconstruction of a Magnetic Field
• Recent progress in the Calderon problem with partial data
• Dimension Bounds in Monotonicity Methods for the Helmholtz Equation
• Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography

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