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arxiv: 1406.4854 · v1 · pith:5XUKNVBOnew · submitted 2014-06-18 · 🧮 math.AP

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

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

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