Based on the spectral decomposition for the linear and nonlinear radially symmetric homogeneous non-cutoff Landau operators under the hard potentialγ=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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机译:Stabilities and interaction dynamics for flat-top bright soliton solutions of a generalized Gross-Pitaevskii(GGP(n,n)) equation with Gaussian-harmonic-radial PT-symmetric potential