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arXiv · 1811.10428

Semiclassical Defect Measures and Observability Estimate for Schr\"odinger Operators with Homogeneous Potentials of Order Zero

Keita Mikami
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Abstract

We study the asymptotic behavior as |x| \to \infty of Schr\"odinger operators with homogeneous potentials. For this purpose, we use methods from semiclassical analysis and investigate semiclassical defect mesures. We prove their localization in direction which we apply in order to obtain a necessary condition of observability.

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Keita Mikami. 2018-11-26. Semiclassical Defect Measures and Observability Estimate for Schr\"odinger Operators with Homogeneous Potentials of Order Zero. https://doi.org/10.1142/s0129055x24500594

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