TY - JOUR
T1 - Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential
AU - Yang, Tong
AU - Yu, Hongjun
PY - 2022/3/10
Y1 - 2022/3/10
N2 - 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.
AB - 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.
KW - spectrum structure
KW - time decay rate
KW - Landau equation
KW - Boltzmann equation
KW - BOLTZMANN-EQUATION
KW - EXPONENTIAL DECAY
KW - ANGULAR CUTOFF
KW - SYSTEM
KW - EXISTENCE
KW - LEVEL
KW - LIMIT
UR - http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000770197300001
U2 - 10.1007/s11425-020-1901-4
DO - 10.1007/s11425-020-1901-4
M3 - 21_Publication in refereed journal
JO - Science China Mathematics
JF - Science China Mathematics
SN - 1674-7283
ER -