首页|Analytic Smoothing Effect of the Time Variable for the Spatially Homogeneous Landau Equation

Analytic Smoothing Effect of the Time Variable for the Spatially Homogeneous Landau Equation

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In this work,we study the Cauchy problem of the spatially homogeneous Landau equation with hard potentials in a close-to-equilibrium framework.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time variable with an L2 initial datum for positive time.So that the smoothing ef-fect of the Cauchy problem for the spatially homogeneous Landau equation with hard potentials is exactly same as heat equation.

Spatially homogeneous Landau equationanalytic smoothing effecthard potentials

XU Chaojiang、XU Yan

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School of Mathematics and Key Laboratory of Mathematical MIIT,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

国家自然科学基金Fundamental Research Funds for the Central Universities of China

12031006

2024

偏微分方程(英文版)

偏微分方程(英文版)

影响因子:0.078
ISSN:1000-940X
年,卷(期):2024.37(1)
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