Conjoint spectral asymptotics for the families of commuting operators and for operators with the periodic hamiltonian flow
Victor Ivrii (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Victor Ivrii (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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V. Ivrii (1990-1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
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D. G. Vassiliev (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Persson, Mikael (2009)
Advances in Mathematical Physics
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H. Amann, E. Zehnder (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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V. Ivrii (1993-1994)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Brown, B. M., Evans, W. D., Marletta, M. (1999)
Journal of Inequalities and Applications [electronic only]
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Dario Bambusi (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We use the Galerkin averaging method to construct a coordinate transformation putting a nonlinear PDE in Poincaré normal form up to finite order. We also give a rigorous estimate of the remainder showing that it is small as a differential operator of very high order. The abstract theorem is then applied to a quasilinear wave equation, to the water wave problem and to a nonlinear heat equation. The normal form is then used to construct approximate solutions whose difference from true...