Stability estimate for the relativistic Schr "odinger equation with\n time-dependent vector potentials

2014/06/18 by Ricardo Salazar, Salazar, Ricardo · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1406.4854

openalex publication_date 2014/06/18 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We consider the relativistic Schr "odinger equation with a time dependent\nvector and scalar potential on a bounded cylindrical domain. Using a Geometric\nOptics Ansatz we establish a logarithmic stability estimate for the recovery of\nthe vector and scalar potentials.\n

Citations

• Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials

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