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- W4295668842 abstract "In the paper, for the Cauchy problem on the non-cutoff Boltzmann equation in torus, we establish the global-in-time Gevrey smoothness in velocity and space variables for a class of low-regularity mild solutions near Maxwellians with the Gevrey index depending only on the angular singularity. This together with [24] provides a self-contained well-posedness theory for both existence and regularity of global solutions for initial data of low regularity in the framework of perturbations. For the proof we treat in a subtle way the commutator between the regularization operators and the Boltzmann collision operator involving rough coefficients, and this enables us to combine the classical Hormander's hypoelliptic techniques together with the global symbolic calculus established for the linearized Boltzmann operator so as to improve the regularity of solutions at positive time." @default.
- W4295668842 created "2022-09-14" @default.
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- W4295668842 date "2021-05-02" @default.
- W4295668842 modified "2023-09-27" @default.
- W4295668842 title "Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation" @default.
- W4295668842 doi "https://doi.org/10.48550/arxiv.2105.00474" @default.
- W4295668842 hasPublicationYear "2021" @default.
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