Abstract
In this work, we study the Cauchy problem of the nonlinear spatially homogeneous Landau equation with hard potentials in a close-to-equilibrium framework. We prove that the solution to the Cauchy problem with the initial datum in L2 enjoys an analytic regularizing effect, and the evolution of the analytic radius is the same as that of heat equations.
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Acknowledgements
The first author was supported by National Natural Science Foundation of China (Grant No. 11701578), the Fundamental Research Funds for the Central Universities, and South-Central University for Nationalities (Grant No. CZT20007). The second author was supported by National Natural Science Foundation of China (Grant No. 12031006) and the Fundamental Research Funds for the Central Universities.
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Li, HG., Xu, CJ. The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials. Sci. China Math. 65, 2079–2098 (2022). https://doi.org/10.1007/s11425-021-1888-6
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DOI: https://doi.org/10.1007/s11425-021-1888-6