Hide this

Results from Google Books

Click on a thumbnail to go to Google Books.

Hyperbolic Partial Differential Equations…

Hyperbolic Partial Differential Equations and Wave Phenomena (Translations…

by Mitsuru Ikawa

MembersReviewsPopularityAverage ratingConversations

No tags.



Sign up for LibraryThing to find out whether you'll like this book.

No current Talk conversations about this book.

No reviews
no reviews | add a review
You must log in to edit Common Knowledge data.
For more help see the Common Knowledge help page.
Series (with order)
Canonical title
Original title
Alternative titles
Original publication date
Important places
Important events
Related movies
Awards and honors
First words
Last words
Disambiguation notice
Publisher's editors
Publisher series
Original language

References to this work on external resources.

Wikipedia in English


Book description
Haiku summary

Amazon.com Product Description (ISBN 0821810219, Paperback)

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.

(retrieved from Amazon Thu, 12 Mar 2015 18:20:32 -0400)

No library descriptions found.

Quick Links

Swap Ebooks Audio

Popular covers


Average: No ratings.

Is this you?

Become a LibraryThing Author.


You are using the new servers! | About | Privacy/Terms | Help/FAQs | Blog | Store | APIs | TinyCat | Legacy Libraries | Early Reviewers | Common Knowledge | 116,966,391 books! | Top bar: Always visible