@article{AIHPA_1994__60_3_339_0, author = {Bambusi, Dario}, title = {A {Nekhoroshev-type} theorem for the {Pauli-Fierz} model of classical electrodynamics}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {339--371}, publisher = {Gauthier-Villars}, volume = {60}, number = {3}, year = {1994}, mrnumber = {1281651}, zbl = {0805.35130}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1994__60_3_339_0/} }
TY - JOUR AU - Bambusi, Dario TI - A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics JO - Annales de l'I.H.P. Physique théorique PY - 1994 SP - 339 EP - 371 VL - 60 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1994__60_3_339_0/ LA - en ID - AIHPA_1994__60_3_339_0 ER -
%0 Journal Article %A Bambusi, Dario %T A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics %J Annales de l'I.H.P. Physique théorique %D 1994 %P 339-371 %V 60 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1994__60_3_339_0/ %G en %F AIHPA_1994__60_3_339_0
Bambusi, Dario. A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics. Annales de l'I.H.P. Physique théorique, Tome 60 (1994) no. 3, pp. 339-371. http://archive.numdam.org/item/AIHPA_1994__60_3_339_0/
[1] Some Rigorous Results on the Pauli-Fierz Model of Classical Electrodynamics, Ann. Inst. H. Poincaré, Physique théorique, Vol. 58, 1993, pp. 155-171. | Numdam | MR | Zbl
and ,[2] Classical Electrodynamics as a Nonlinear Dynamical System, Phys. Lett. A, Vol. 139, 1989, pp. 221-230.
, , , and ,[3] Zur Theorie der Emission langwelliger Lichtquanten, Nuovo Cimento, Vol. 15, 1938, pp. 167-188. | JFM
and ,[4] Prinzipien der Dynamik des Elektrons, Ann. der Phys., Vol. 10, 1903, pp. 105-179. | JFM
,[5] Theorie der Elektrizität, Vol. II, Tebeuner, Leipzig-Berlin 1908. | JFM
,[6] Zum gegenwärtigen Stand des Strahlungsproblems, Phys. Zeit., Vol. 6, 1909, pp. 185-186. | JFM
,[7] Théorie des champs, 3rd Ed., MIR, Moscow, 1970.
and ,[8] Classical Electrodynamics, John Wiley & Sons, New York, 1975. | Zbl
,[9] The Electromagnetic Field of a Moving Uniformly and Rigidly Electrified Sphere and its Radiationless Orbits, Phyl. Mag., Vol. 15, 1933, pp. 752-761. | Zbl
,[10] The Self Oscillations of a Charged Particle, Phys. Rev., Vol. 74, 1948, pp. 1789-1798. | Zbl
and ,[11] Radiative Corrections for Extended Charged Particles in Classical Electrodynamics, Ann. of Physics, Vol. 142, 1982, pp. 284-298. | MR
and ,[12] Siegel Linearization Theorem in Infinite Dimension, Manuscripta Math., Vol. 23, 1978, pp. 363-371. | MR | Zbl
,[13] The Method of Poincaré Normal Form in Problems of Integrability of Equations of Evolution Type, Uspekhi Mat. Nauk., Vol. 41, 5, 1986, pp. 109-152; Russ. Math. Surveys, Vol. 41, 5, 1986, pp. 63-114. | MR | Zbl
,[14] Localization in Disordered, Nonlinear Dynamical Systems, J. Stat. Phys., Vol. 42, 1986, pp. 247-274. | MR | Zbl
, and ,[15] Invariant Tori for an Infinite Lattice of Coupled Classical Rotators, Preprint, 1985.
and ,[16] Hamiltonian Perturbations of Infinite-dimensional Linear Systems with Imaginary Spectrum, Funktsional. Anal. i Prilozhen, Vol. 21, 3, 1987, pp. 22-37; Funct. Anal. Appl., Vol. 21, 1987. | MR | Zbl
,[17] Periodic and Quasi-periodic Solutions of Nonlinear Wave Equation via KAM Theory, Commun. Math. Phys., Vol. 127, 1990, pp. 479-528. | MR | Zbl
,[18] Small Divisors with Spatial Structure in Infinite Dimensional Hamiltonian Systems, Commun. Math. Phys., Vol. 127, 1990, pp. 351-393. | MR | Zbl
,[19] DENISOV, Reduction of the Nonlinear Diffusion Equation to Linear Form, Funktional. Anal. i Prilozhen, Vol. 19, 1, 1985, pp. 69-70; Function. Anal. Appl., Vol. 19, 1985, pp. 57-58. | MR | Zbl
.[20] Reduction of some Nonlinear Evolution Equation with Continuous Spectrum to Linear Part, Differentsial'nye Uravneniya, Vol. 21, 1985, pp. 464-473; Differential equations, Vol. 21, 1985, pp. 312-319. | MR | Zbl
,[21] A Nekhoroshev-type Theorem for Hamiltonian Systems with Infinitely Many Degrees of Freedom, Commun. Math. Phys., Vol. 119, 1988, pp. 95-108. | MR | Zbl
, and ,[22] An Averaging Theorem for Distributed Conservative Systems and its Application to Von Karman's Equation, PMM U.S.S.R., Vol. 53, 1989, pp. 150-157. | MR | Zbl
,[23] Exponential stability of states close to resonance in infinite dimensional hamiltonian systems, Jour. Stat. Phys., Vol. 71, 1993. | MR | Zbl
and ,[24] Realization of Holonomic Constraints and Freezing of High Frequency Degrees of Freedom in the Light of Classical Perturbation Theory, Part II, Commun. Math. Phys., Vol. 121, 1989, pp. 557-601. | MR | Zbl
, and ,[25] Problèmes aux Limites, Presses de l'Université de Montréal, 1962.
,[26] Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques, Masson, Paris, 1985. | Zbl
and ,[27] Ann. d. Phys., Vol. 30, 1, 1909. | JFM
,[28] A covariant Formulation of Classical Electrodynamics for Charges of Finite Extension, Ann. of Phys., Vol. 28, 1964, pp. 225-319. | MR | Zbl
,[29] Formal Integrals for an Autonomous Hamiltonian System Near an Equilibrium Point, Cel. Mech., Vol. 17, 1978, pp. 267-280. | MR | Zbl
and ,[30] Complex Analysis in Banach Spaces, North Holland Mathematical Studies 120, Amsterdam, 1986. | MR | Zbl
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