期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
卷 -, 期 -, 页码 -出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2023157
关键词
Spatially homogeneous Landau equation; analytic Gelfand-Shilov smoothing effect; hard potentials
In this paper, an improved new argument is presented to prove that the solution of the Cauchy problem for the nonlinear spatially homogeneous Landau equation with hard potentials with L-2(R-3) initial datum exhibits an analytic Gelfand-Shilov regularizing effect in the class S-1(1) (R-3), where the evolution of the analytic radius is similar to the heat equation.
In this work, we give an improved new argument to prove that the solution of the Cauchy problem for the nonlinear spatially homogeneous Landau equation with hard potentials with L-2(R-3) initial datum enjoys a analytic Gelfand-Shilov regularizing effect in the class S-1(1) (R-3), the evolution of analytic radius is similar to the heat equation.
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