Distributions, Partial Differential Equations, and Harmonic Analysis (Universitext) - Softcover

Mitrea, Dorina

Softcover

ISBN 10: 1461482070 ISBN 13: 9781461482079

Publisher: Springer Verlag, 2013

Synopsis

​The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential the Laplace, heat, wave, Lam'e and Schrodinger operators.​

About this title

From the Back Cover

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis.

The book is written in a format suitable for a graduate course spanning either over one-semester,  when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions.

Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide.

Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity.

About the Author

Dorina Mitrea is a Professor at University of Missouri in the Mathematics Department.

Edition details

• Publisher: Springer Verlag
• Publication date: 2013
• Language: English
• ISBN 10: 1461482070
• ISBN 13: 9781461482079
• Binding: Paperback
• Number of pages: 484