Semiclassical analysis for the Kramers-Fokker-Planck equation

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We study some accurate semiclassical resolvent estimates for operators that are neither selfadjoint nor elliptic, and applications to the Cauchy problem. In particular we get a precise description of the spectrum near the imaginary axis and precise resolvent estimates inside the pseudo-spectrum. We apply our results to the Kramers-Fokker-Planck operator.

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Spectral Theory, Mathematical Physics, 35P20; 35S10; 47A10; 47D06

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http://salesiana.dossiersoluciones.com/handle/123456789/71552

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406275
 http://arxiv.org/abs/math/0406275

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arXiv