Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Hyperbolic Partial Differential Equations and Wave Phenomena
 
Mitsuru Ikawa Kyoto University, Japan
Front Cover for Hyperbolic Partial Differential Equations and Wave Phenomena
Available Formats:
Softcover ISBN: 978-0-8218-1021-7
Product Code: MMONO/189
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $38.40
Electronic ISBN: 978-1-4704-4603-1
Product Code: MMONO/189.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $72.00
MAA Member Price: $64.80
AMS Member Price: $57.60
Front Cover for Hyperbolic Partial Differential Equations and Wave Phenomena
Click above image for expanded view
  • Front Cover for Hyperbolic Partial Differential Equations and Wave Phenomena
  • Back Cover for Hyperbolic Partial Differential Equations and Wave Phenomena
Hyperbolic Partial Differential Equations and Wave Phenomena
Mitsuru Ikawa Kyoto University, Japan
Available Formats:
Softcover ISBN:  978-0-8218-1021-7
Product Code:  MMONO/189
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $38.40
Electronic ISBN:  978-1-4704-4603-1
Product Code:  MMONO/189.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $72.00
MAA Member Price: $64.80
AMS Member Price: $57.60
  • Book Details
     
     
    Translations of Mathematical Monographs
    Iwanami Series in Modern Mathematics
    Volume: 1892000; 190 pp
    MSC: Primary 35;

    The familiar wave equation is the most fundamental hyperbolic partial differential equation. Other hyperbolic equations, both linear and nonlinear, exhibit many wave-like phenomena. The primary theme of this book is the mathematical investigation of such wave phenomena.

    The exposition begins with derivations of some wave equations, including waves in an elastic body, such as those observed in connection with earthquakes. Certain existence results are proved early on, allowing the later analysis to concentrate on properties of solutions. The existence of solutions is established using methods from functional analysis. Many of the properties are developed using methods of asymptotic solutions. The last chapter contains an analysis of the decay of the local energy of solutions. This analysis shows, in particular, that in a connected exterior domain, disturbances gradually drift into the distance and the effect of a disturbance in a bounded domain becomes small after sufficient time passes.

    The book is geared toward a wide audience interested in PDEs. Prerequisite to the text are some real analysis and elementary functional analysis. It would be suitable for use as a text in PDEs or mathematical physics at the advanced undergraduate and graduate level.

    Readership

    Advanced undergraduate and graduate students and researchers interested in partial differential equations and mathematical physics.

  • Table of Contents
     
     
    • Chapters
    • Wave phenomena and hyperbolic equations
    • The existence of a solution for a hyperbolic equation and its properties
    • The construction of asymptotic solutions
    • Local energy of the wave equation
  • Additional Material
     
     
  • Reviews
     
     
    • Interesting and welcome little book … provides an excellent introduction to the mathematics of linear wave propagation … This book provides a good introduction to the fascinating topic of linear wave propagation for a reader who has a sound mathematical background but no special familiarity with either the physical or mathematical aspects of wave propagation phenomena.

      Mathematical Reviews
    • This small book is very carefully written, well-organized, and hence, highly recommended for graduate students and researchers.

      Zentralblatt MATH
  • Request Review Copy
  • Get Permissions
Iwanami Series in Modern Mathematics
Volume: 1892000; 190 pp
MSC: Primary 35;

The familiar wave equation is the most fundamental hyperbolic partial differential equation. Other hyperbolic equations, both linear and nonlinear, exhibit many wave-like phenomena. The primary theme of this book is the mathematical investigation of such wave phenomena.

The exposition begins with derivations of some wave equations, including waves in an elastic body, such as those observed in connection with earthquakes. Certain existence results are proved early on, allowing the later analysis to concentrate on properties of solutions. The existence of solutions is established using methods from functional analysis. Many of the properties are developed using methods of asymptotic solutions. The last chapter contains an analysis of the decay of the local energy of solutions. This analysis shows, in particular, that in a connected exterior domain, disturbances gradually drift into the distance and the effect of a disturbance in a bounded domain becomes small after sufficient time passes.

The book is geared toward a wide audience interested in PDEs. Prerequisite to the text are some real analysis and elementary functional analysis. It would be suitable for use as a text in PDEs or mathematical physics at the advanced undergraduate and graduate level.

Readership

Advanced undergraduate and graduate students and researchers interested in partial differential equations and mathematical physics.

  • Chapters
  • Wave phenomena and hyperbolic equations
  • The existence of a solution for a hyperbolic equation and its properties
  • The construction of asymptotic solutions
  • Local energy of the wave equation
  • Interesting and welcome little book … provides an excellent introduction to the mathematics of linear wave propagation … This book provides a good introduction to the fascinating topic of linear wave propagation for a reader who has a sound mathematical background but no special familiarity with either the physical or mathematical aspects of wave propagation phenomena.

    Mathematical Reviews
  • This small book is very carefully written, well-organized, and hence, highly recommended for graduate students and researchers.

    Zentralblatt MATH
Please select which format for which you are requesting permissions.