期刊
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS
卷 35, 期 1, 页码 11-30出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/jpde.v35.n1.2
关键词
Gelfand-Shilov smoothing effect; spectral decomposition; Landau equation; hard potential gamma = 2
资金
- Fundamental Research Funds for the Central Universities of China
- South-Central University for Nationalities [CZT20007]
- Natural Science Foundation of China [11701578]
This study demonstrates the spectral decomposition of linear and nonlinear radially symmetric homogeneous non-cutoff Landau operators under the hard potential gamma = 2 in a perturbation framework, proving the existence of solutions and the Gelfand-Shilov smoothing effect for the Cauchy problem of the symmetric homogenous Landau equation with small initial datum.
Based on the spectral decomposition for the linear and nonlinear radially symmetric homogeneous non-cutoff Landau operators under the hard potential gamma = 2 in perturbation framework, we prove the existence and Gelfand-Shilov smoothing effect for solution to the Cauchy problem of the symmetric homogenous Landau equation with small initial datum.
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