Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 1, pp. 80-83
Citer cet article
N. N. Nekhoroshev. Exponential Stability of the Approximate Principal Mode of the Nonlinear Wave Equation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 1, pp. 80-83. http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a10/
@article{FAA_1999_33_1_a10,
author = {N. N. Nekhoroshev},
title = {Exponential {Stability} of the {Approximate} {Principal} {Mode} of the {Nonlinear} {Wave} {Equation}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {80--83},
year = {1999},
volume = {33},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a10/}
}
TY - JOUR
AU - N. N. Nekhoroshev
TI - Exponential Stability of the Approximate Principal Mode of the Nonlinear Wave Equation
JO - Funkcionalʹnyj analiz i ego priloženiâ
PY - 1999
SP - 80
EP - 83
VL - 33
IS - 1
UR - http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a10/
LA - ru
ID - FAA_1999_33_1_a10
ER -
%0 Journal Article
%A N. N. Nekhoroshev
%T Exponential Stability of the Approximate Principal Mode of the Nonlinear Wave Equation
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1999
%P 80-83
%V 33
%N 1
%U http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a10/
%G ru
%F FAA_1999_33_1_a10
[1] Bambusi D., Giorgilli A., “Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems”, J. Statist. Phys., 71 (1993), 569–606 | DOI | MR | Zbl
[2] Bambusi D., Nekhoroshev N. N., “A property of exponential stability in nonlinear wave equations near the fundamental linear mode”, Phys. D, 122 (1998), 73–104 | DOI | MR | Zbl
[3] Craig W., Wayne C. E., “Newton's method and periodic solutions of nonlinear wave equations”, Comm. Pure Appl. Math., 46 (1993), 1409–1501 | DOI | MR
[4] Kuksin S. B., Lect. Notes Math., 1556, Springer-Verlag, 1994
[5] Rabinowitz P. H., “Free vibrations for a semilinear wave equation”, Comm. Pure Appl. Math., 31 (1978), 31–68 | DOI | MR | Zbl