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Nonlinear Oscillations of Hamiltonian PDEs
Nonlinear Oscillations of Hamiltonian PDEs
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Description
After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein¿Moser and Fadell¿Rabinowitz bifurcation results, the author develops the analogous theory for nonlinear wave equations. The theory and applications of the Nash¿Moser theorem to a class of nonlinear wave equations is also discussed together with other basic notions of Hamiltonian PDEs and number theory. The main examples of Hamiltonian PDEs presented include: the nonlinear wave equation, the nonlinear Schrödinger equation, beam equations, and the Euler equations of hydrodynamics.
This text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.
Product details
Number of Pages:
200
Release Date:
1989-05-01
Publication Date:
2007-10-01
Publisher:
Birkhäuser Boston
Languages:
Original:
English
ISBN10:
08176468090683079085
ISBN13:
9780817646806
Weight:
471 g
Height:
160 cm
Width:
241 cm
Thickness:
16 cm
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