Title
Nonlinear Oscillations of Hamiltonian PDEs (Progress in Nonlinear Differential Equations and Their Applications, 74),Used
Sold by Ergodebooks, an authorized reseller.
Returns accepted within 30 days | support@ergodebooks.com
Shipping Information
- Free Standard Shipping — United States only
- Processing Time: 1–3 business days
- Estimated Delivery: 3–5 business days after dispatch
- Double-boxed, fully insured & discreetly packaged
- Tracking number sent via email once dispatched
- Orders over $250 require signature upon delivery. Taxes calculated at checkout.
Returns & Refund
Returns accepted within 30 days of delivery.
Damaged or Defective Item
Free return shipping + replacement or full refund
Wrong Item Received
Free return shipping + replacement or full refund
Change of Mind
Return shipping at customer's expense · 25% restocking fee applies
Payment Option
Many partial differential equations (PDEs) that arise in physics can be viewed as infinitedimensional 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 finitedimensional dynamical system theory, including the WeinsteinMoser and FadellRabinowitz bifurcation results, the author develops the analogous theory for nonlinear wave equations. The theory and applications of the NashMoser 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 Schrdinger 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.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
- Q: What is the main focus of 'Nonlinear Oscillations of Hamiltonian PDEs'? A: The book focuses on the existence results of nonlinear oscillations in Hamiltonian partial differential equations (PDEs), particularly periodic solutions for completely resonant nonlinear wave equations.
- Q: Who is the author of this book? A: The author of 'Nonlinear Oscillations of Hamiltonian PDEs' is Massimiliano Berti.
- Q: What topics are covered in this book? A: The book covers classical finite-dimensional dynamical system theory, Weinstein–Moser and Fadell–Rabinowitz bifurcation results, and the applications of the Nash–Moser theorem to nonlinear wave equations, among other topics.
- Q: What is the binding type of this book? A: This book is available in hardcover binding.
- Q: How many pages does this book have? A: The book contains a total of 194 pages.
- Q: When was 'Nonlinear Oscillations of Hamiltonian PDEs' published? A: The book was published on October 1, 2007.
- Q: Is this book suitable for beginners in the field? A: This book serves as an introduction to research in Hamiltonian PDEs, making it suitable for graduate students and researchers who are new to the field.
- Q: What type of readers will benefit from this book? A: Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find the book inspirational.
- Q: Are there any specific examples of Hamiltonian PDEs discussed in the book? A: Yes, the book discusses several examples, including the nonlinear wave equation, nonlinear Schrödinger equation, beam equations, and Euler equations of hydrodynamics.
- Q: What condition is the book in? A: The book is classified as a 'Used Book in Good Condition'.