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008 150903s2007 xxu| o |||| 0|eng d
020 _a9780817646813
_99780817646813
024 7 _a10.1007/9780817646813
_2doi
035 _avtls000333609
039 9 _a201509030206
_bVLOAD
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040 _aMX-SnUAN
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_erda
050 4 _aQA370-380
100 1 _aBerti, Massimiliano.
_eautor
_9305428
245 1 0 _aNonlinear Oscillations of Hamiltonian PDEs /
_cby Massimiliano Berti.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2007.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aProgress in Nonlinear Differential Equations and Their Applications ;
_v74
500 _aSpringer eBooks
505 0 _aFinite Dimension -- Infinite Dimension -- A Tutorial in Nash–Moser Theory -- Application to the Nonlinear Wave Equation -- Forced Vibrations.
520 _aMany partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein–Moser and Fadell–Rabinowitz resonant center theorems, the author develops the analogous theory for completely resonant nonlinear wave equations. Within this theory, both problems of small divisors and infinite bifurcation phenomena occur, requiring the use of Nash–Moser theory as well as minimax variational methods. These techniques are presented in a self-contained manner together with other basic notions of Hamiltonian PDEs and number theory. This text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in nonlinear variational techniques as well in small divisors problems applied to Hamiltonian PDEs will find inspiration in the book.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780817646806
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4681-3
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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