ON TIME DECAY-RATES IN LANDAU DAMPING

Authors
GLASSEY R SCHAEFFER J
Citation
R. Glassey et J. Schaeffer, ON TIME DECAY-RATES IN LANDAU DAMPING, Communications in partial differential equations, 20(3-4), 1995, pp. 647-676
Citations number
11
Categorie Soggetti
Mathematics,"Mathematics, Pure",Mathematics,Mathematics
Journal title
Communications in partial differential equations → ACNP
ISSN journal
03605302
Volume
20
Issue
3-4
Year of publication
1995
Pages
647 - 676
Database
ISI
SICI code
0360-5302(1995)20:3-4<647:OTDILD>2.0.ZU;2-1
Abstract
In a previous publication the authors have obtained time decay rates f or solutions to the initial-value problem for the linearized Vlasov eq uation (in one space dimension) g(t) + vg(x) + 2v f'(v(2))E = 0. Here E(x) = rho = integral gdv and f(v(2)) greater than or equal to 0 is a given steady state which is assumed to be sufficiently smooth and stri ctly decreasing to 0 as \v\ --> infinity. In the present paper, estima tes are obtained which show some of the previous time decay results to be optimal.