Gelfand-Shilov Smoothing Effect for the Radially Symmetric Spatially Homogeneous Landau Equation under the Hard Potential $\gamma=2$
Year: 2022
Author: Haoguang Li, Hengyue Wang
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 11–30
Abstract
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n1.2
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 11–30
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Gelfand-Shilov smoothing effect spectral decomposition Landau equation hard potential $\gamma=2.$