Hyperbolic Equations and Frequency Interactions

Caffarelli, Luis, and GH. E. WEinan, editors

ISBN 10: 0821805924 / ISBN 13: 9780821805923

Published by American Mathematical Society, Providence RI, 1998

An ex-library copy in original laminated pictorial hard covers. The usual ex-libris markings. The binding is sound, the text is clean/unmarked, and there is little cover wear. No dust jacket, apparently as issued. Seller Inventory # 063643

Synopsis:

The research topic for this IAS/PCMI Summer Session was nonlinear wave phenomena. Mathematicians from the more theoretical areas of PDEs were brought together with those involved in applications. The goal was to share ideas, knowledge, and perspectives. How waves, or 'frequencies', interact in nonlinear phenomena has been a central issue in many of the recent developments in pure and applied analysis. It is believed that wavelet theory - with its simultaneous localization in both physical and frequency space and its lacunarity - is and will be a fundamental new tool in the treatment of the phenomena.Included in this volume are write-ups of the 'general methods and tools' courses held by Jeff Rauch and Ingrid Daubechies. Rauch's article discusses geometric optics as an asymptotic limit of high-frequency phenomena. He shows how nonlinear effects are reflected in the asymptotic theory. In the article ""Harmonic Analysis, Wavelets and Applications"" by Daubechies and Gilbert the main structure of the wavelet theory is presented.Also included are articles on the more 'specialized' courses that were presented, such as ""Nonlinear Schrodinger Equations"" by Jean Bourgain and ""Waves and Transport"" by George Papanicolaou and Leonid Ryzhik. Susan Friedlander provides a written version of her lecture series ""Stability and Instability of an Ideal Fluid"", given at the Mentoring Program for Women in Mathematics, a preliminary program to the Summer Session. This Summer Session brought together students, fellows, and established mathematicians from all over the globe to share ideas in a vibrant and exciting atmosphere. This book presents the compelling results.

Bibliographic Details

Title: Hyperbolic Equations and Frequency ...
Publisher: American Mathematical Society, Providence RI
Publication Date: 1998
Binding: Hardcover
Condition: Good
Dust Jacket Condition: No Dust Jacket
Edition: First Edition.
Book Type: Book