Hyperbolic Partial Differential Equations and Wave Phenomena is popular PDF and ePub book, written by Mitsuru Ikawa in 2000, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hyperbolic Partial Differential Equations and Wave Phenomena can be Read Online from any device for your convenience.
Hyperbolic Partial Differential Equations and Wave Phenomena Book PDF Summary
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.
Detail Book of Hyperbolic Partial Differential Equations and Wave Phenomena PDF
- Author : Mitsuru Ikawa
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 0821810219
- Genre : Mathematics
- Total Page : 218 pages
- Language : English
- PDF File Size : 16,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Hyperbolic Partial Differential Equations and Wave Phenomena by Mitsuru Ikawa, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.