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Series in Contemporary Mathematics

Nonlinear Wave Equations

Authors: Li, Tatsien, Zhou, Yi

  • Establishes the complete lower bound estimates of lifespan for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions
  • Proposes the global iteration method, which offers a unified and straightforward approach to the problems
  • Accompanies readers fro
  • m the basics to the latest advances in the field
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eBook $109.00
price for USA (gross)
  • ISBN 978-3-662-55725-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-662-55723-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms.

Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut

ions to the corresponding linear problems, the method simply applies the contraction mapping principle.

Table of contents (15 chapters)

  • Introduction and Overview

    Li, Tatsien (et al.)

    Pages 1-16

  • Linear Wave Equations

    Li, Tatsien (et al.)

    Pages 17-33

  • Sobolev Type Inequalities with Decay Factor

    Li, Tatsien (et al.)

    Pages 35-64

  • Estimates on Solutions to the Linear Wave Equations

    Li, Tatsien (et al.)

    Pages 65-111

  • Some Estimates on Product Functions and Composite Functions

    Li, Tatsien (et al.)

    Pages 113-131

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-662-55725-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-662-55723-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Wave Equations
Authors
Series Title
Series in Contemporary Mathematics
Series Volume
2
Copyright
2017
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany and Shanghai Scientific and Technical Publishers
eBook ISBN
978-3-662-55725-9
DOI
10.1007/978-3-662-55725-9
Hardcover ISBN
978-3-662-55723-5
Series ISSN
2364-009X
Edition Number
1
Number of Pages
XIV, 391
Number of Illustrations and Tables
2 b/w illustrations
Additional Information
Jointly published with Shanghai Scientific and Technical Publishers Bejing, China
Topics