A Remark on the Ultra-analytic Smoothing Properties of the Spatially Homogeneous Landau Equation
نویسنده
چکیده
We consider the non-linear spatially homogeneous Landau equation with Maxwellian molecules in a close-to-equilibrium framework and show that the Cauchy problem for the fluctuation around the Maxwellian equilibrium distribution enjoys a Gelfand-Shilov regularizing effect in the class S 1/2 1/2(R ), implying the ultra-analyticity of both the fluctuation and its Fourier transform, for any positive time.
منابع مشابه
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