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Averaging of linear operators, adiabatic approximation, and pseudodifferential operators |
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| Authors: | J. Brüning V. V. Grushin S. Yu. Dobrokhotov |
| Affiliation: | 1. Humboldt University, Humboldt, Germany 2. Moscow State Institute of Electronics and Mathematics, Moscow Institute of Physics and Technology, Moscow, Russia 3. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow Institute of Physics and Technology, Moscow, Russia |
| Abstract: | An example of Schr?dinger and Klein-Gordon equations with fast oscillating coefficients is used to show that they can be averaged by an adiabatic approximation based on V. P. Maslov??s operator method. |
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