The Behavior of the Solutions of Delta U = F(x (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.34
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores the behavior of solutions to differential equations, specifically the Laplacian equation and a more general equation involving a function F. The author investigates the conditions under which solutions vanish at a point, proving that if a solution vanishes more strongly than any power of the distance from that point, it vanishes identically. This result is extended to a broader class of equations where F satisfies a Lipschitz condition. By establishing these conditions, the book contributes to the understanding of the local behavior of solutions to differential equations, particularly in higher dimensions. The author's approach combines mathematical rigor with clear explanations, making the book accessible to researchers and students in mathematics and theoretical physics. Overall, this book provides valuable insights into the behavior of solutions to differential equations, deepening our understanding of these fundamental mathematical objects. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332892969_0
- Title
- The Behavior of the Solutions of Delta U = F(x (Classic Reprint)
- Author
- Claus Müller
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332892965
- ISBN 13
- 9781332892969
- Seller catalogs
- Calculus
This work presents theory and methods that extend previous results to more variables and relax analytic assumptions. It explains how Lipschitz conditions on F(x,U) lead to strong uniqueness results and how the structure of solutions can be understood through spherical harmonics and radial analysis.
- See how local estimates control the global form of a solution.
- Learn techniques that extend Carleman-type results to higher dimensions.
- Explore the role of Lipschitz conditions in ensuring uniqueness and stability.
- Understand the connection between differential equations and their spherical-harmonic decompositions.
Ideal for readers with a background in higher mathematics who want a deeper look at the local behavior and uniqueness of solutions to complex differential equations.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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FB &c Ltd
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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