Applications of Lie groups to differential equations / Peter J. Olver

Auteur: Olver, Peter John (1952-) - AuteurType de document: MonographieCollection: Graduate texts in mathematics ; 107Langue: anglaisPays: Etats UnisÉditeur: New York : Springer, 2000Edition: 2nd editionDescription: 1 vol. (xxviii-513 p.) : ill. ; 24 cm ISBN: 0387950001 ; br. Note: From the author's Preface to the second Springer-Verlag edition.: “The one substantial addition to the second edition is a short presentation of the calculus of pseudo-differential operators and their use in Shabat's theory of formal symmetries, which provides a powerful, algorithmic method for determining the integrability of evolution equations”.Bibliographie: Bibliogr. p. 467-488. Index. Sujets MSC: 58J40 Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Pseudodifferential and Fourier integral operators on manifolds
58J70 Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Invariance and symmetry properties
22E70 Topological groups, Lie groups -- Lie groups -- Applications of Lie groups to physics; explicit representations
35Q53 Partial differential equations -- Equations of mathematical physics and other areas of application -- KdV-like equations (Korteweg-de Vries)
35K05 Partial differential equations -- Parabolic equations and systems -- Heat equation
En-ligne: Springerlink - ed. 1986 | Zentralblatt
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From the author's Preface to the second Springer-Verlag edition.: “The one substantial addition to the second edition is a short presentation of the calculus of pseudo-differential operators and their use in Shabat's theory of formal symmetries, which provides a powerful, algorithmic method for determining the integrability of evolution equations”.

Bibliogr. p. 467-488. Index

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