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arxiv: 1306.6601 · v1 · pith:TJWHVQTAnew · submitted 2013-06-27 · 🧮 math.AP

Stable Determination of Time-Dependent Scalar Potential From Boundary Measurements in a Periodic Quantum Waveguide

classification 🧮 math.AP
keywords boundarydeterminationmeasurementsperiodicpotentialquantumscalartime-dependent
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We prove logarithmic stability in the determination of the time-dependent scalar potential in a 1-periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schr\"odinger equation.

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