Nonlinear Oscillations of Hamiltonian PDEs (Progress in Nonlinear Differential Equations and Their Applications)

0 avg rating
( 0 ratings by Goodreads )
 
9780817646806: Nonlinear Oscillations of Hamiltonian PDEs (Progress in Nonlinear Differential Equations and Their Applications)

Many 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. The 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.

"synopsis" may belong to another edition of this title.

From the Back Cover:

Many 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.

Review:

From the reviews:

"After discussing important problems and introducing general techniques for Hamiltonian PDEs, the book under review focuses on the nonlinear wave equation. The point of view the author takes is a dynamical system perspective, giving the maximal priority to the search for invariant objects. ... Some nice remarks and useful tools ... are collected in the appendices. This monograph is written with high rigor and good taste and it may conveniently win the attention of both advanced researchers and graduate students." (Enrico Valdinoci, Mathematical Reviews, Issue 2008 i)

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Berti Massimiliano
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 9
Seller:
BooksForStudent
(West Bloomfield, MI, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Brand New Book In Mint condition. Shipping with Trackable Method. No APO/FPO Addresses Please. Bookseller Inventory # 9780817646806NHS

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 42.75
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Berti Massimiliano
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 5
Seller:
firstbookstore
(New Delhi, India)
Rating
[?]

Book Description Book Condition: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-75998

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 42.76
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

3.

Berti Massimiliano
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 5
Seller:
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-64395

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 43.22
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

4.

Berti Massimiliano
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 5
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Book Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB64395

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 43.27
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

5.

Massimiliano Berti
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 2
Seller:
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-64396

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 45.06
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

6.

Massimiliano Berti
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 2
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Book Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB64396

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 45.11
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

7.

Berti Massimiliano
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 5
Seller:
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-75998

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 45.82
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

8.

Berti Massimiliano
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 5
Seller:
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Book Condition: Brand New. New, US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-64395

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 45.84
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

9.

Massimiliano Berti
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 2
Seller:
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Book Condition: Brand New. New, US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-64396

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.73
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

10.

Birkhauser
ISBN 10: 0817646809 ISBN 13: 9780817646806
New Quantity Available: 1
Seller:
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-64397

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 65.31
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book