Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation
Résumé
In this work, we study the nonlinear spatially homogeneous Landau equation with hard potential in a close-to-equilibrium framework, we show that the solution to the Cauchy problem with L 2 initial datum enjoys a analytic Gelfand-Shilov regularizing effect in the class S 1 1 (R 3), meaning that the solution of the Cauchy problem and its Fourier transformation are analytic for any positive time, the evolution of analytic radius is similar to the heat equation.
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