Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Journal / PublicationScience China Mathematics
Online published10 Mar 2022
Publication statusOnline published - 10 Mar 2022


In this paper we first deduce the estimates on the linearized Landau operator with Coulomb potential and then analyze its spectrum structure by using semigroup theory and linear operator perturbation theory Based on these estimates, we give the precise time decay rate estimates on the semigroup generated by the linearized Landau operator so that the optimal time decay rates of the nonlinear Landau equation follow. In addition, we present a similar result for the non-angular cutoff Boltzmann equation with soft potentials.

Research Area(s)

  • spectrum structure, time decay rate, Landau equation, Boltzmann equation, BOLTZMANN-EQUATION, EXPONENTIAL DECAY, ANGULAR CUTOFF, SYSTEM, EXISTENCE, LEVEL, LIMIT