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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Displaying similar documents to “Spectral asymptotics with highly accurate remainder estimates”
Conjoint spectral asymptotics for the families of commuting operators and for operators with the periodic hamiltonian flow
Non weylian spectral asymptotics with accurate remainder estimate
V. Ivrii (1990-1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
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The distribution of eigenvalues of partial differential operators
D. G. Vassiliev (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian.
Persson, Mikael (2009)
Advances in Mathematical Physics
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Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations
H. Amann, E. Zehnder (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Semiclassical asymptotics for exchange energy
V. Ivrii (1993-1994)
Séminaire Équations aux dérivées partielles (Polytechnique)
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The HELP inequality for Hamiltonian systems.
Brown, B. M., Evans, W. D., Marletta, M. (1999)
Journal of Inequalities and Applications [electronic only]
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Galerkin averaging method and Poincaré normal form for some quasilinear PDEs
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...