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• W1780201395 abstract "We present an abstract method for deriving decay estimates on the resolvents and semigroups of non-symmetric operators in Banach spaces in terms of estimates in another smaller reference Banach space. This applies to a class of operators writing as a regularizing part, plus a dissipative part. The core of the method is a high-order quantitative factorization argument on the resolvents and semigroups. We then apply this approach to the Fokker-Planck equation, to the kinetic Fokker- Planck equation in the torus, and to the linearized Boltzmann equation in the torus. We finally use this information on the linearized Boltzmann semi- group to study perturbative solutions for the nonlinear Boltzmann equation. We introduce a non-symmetric energy method to prove nonlinear stability in this context in $L^1_v L^infty _x (1 + |v|^k)$, $k > 2$, with sharp rate of decay in time. As a consequence of these results we obtain the first constructive proof of exponential decay, with sharp rate, towards global equilibrium for the full nonlinear Boltzmann equation for hard spheres, conditionally to some smoothness and (polynomial) moment estimates. This improves the result in [32] where polynomial rates at any order were obtained, and solves the conjecture raised in [91, 29, 86] about the optimal decay rate of the relative entropy in the H-theorem." @default.
• W1780201395 created "2016-06-24" @default.
• W1780201395 creator A5021546831 @default.
• W1780201395 creator A5052239059 @default.
• W1780201395 creator A5060848970 @default.
• W1780201395 date "2017-01-01" @default.
• W1780201395 modified "2023-09-27" @default.
• W1780201395 title "Factorization of Non-Symmetric Operators and Exponential H-Theorem" @default.
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• W1780201395 cites W1562255133 @default.
• W1780201395 cites W1574334325 @default.
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• W1780201395 doi "https://doi.org/10.24033/msmf.461" @default.
• W1780201395 hasPublicationYear "2017" @default.
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