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Hypoelliptic and spectral
estimates for some linear operators of Landau type
Mohamad Rachid |
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Vol. 5 (2023), No. 1, 1–46
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DOI: 10.2140/paa.2023.5.1
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Abstract |
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We establish hypoelliptic estimates, a localization of the spectrum and the estimates of the resolvent for general operators of Landau type. The proof is based on a multiplier method and relies on an accurate parameter-dependent relationship between Weyl and anti-Wick calculus. Moreover, we apply these results to the true linearized inhomogeneous Landau equation. |
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Keywords
kinetic theory, Landau equation, pseudospectrum,
hypoellipticity, Wick quantization
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Mathematical Subject Classification
Primary: 47A10 , 47A11, 47G30
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Milestones
Received: 24 January 2021
Revised: 6 June 2022
Accepted: 24 July 2022
Published: 24 April 2023
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Authors |
| Mohamad Rachid | |
| CERMICS École des Ponts ParisTech Marne-La-Vallée France |
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| © 2023 MSP (Mathematical Sciences Publishers). |
