Remarks on Strongly Elliptic Partial Differential Equations (Classic Reprint) - Couverture souple

Nirenberg, Louis

Couverture souple

ISBN 10 : 1334017247 ISBN 13 : 9781334017247

Editeur : Forgotten Books, 2018

Synopsis

Explore how weak solutions of elliptic equations gain smoothness and how boundary data becomes truly meaningful for this edition’s clear, step‑by‑step approach.

This book surveys core ideas in the analysis of strongly elliptic systems, focusing on differentiability, boundary behavior, and the role of fundamental tools like Garding’s inequality. It combines classical methods with modern Hilbert space perspectives to show when a generalized solution becomes a classical one.

The text develops the theory in accessible terms, introducing function spaces, weak and strong derivatives, and a structured path from existence proofs to regularity results. It also discusses how Dirichlet problems are treated within this framework and how these ideas extend to systems not of the same order.

• Clear development of weak vs. strong differentiability for solutions


• Introduction to key spaces and inequalities used in elliptic theory


• Guided treatment of the Dirichlet problem and boundary regularity


• Extension to systems of equations and higher-order cases

Ideal for readers seeking a rigorous, methodical account of elliptic regularity and boundary value problems.

A propos du livre

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1334017247
• ISBN 13: 9781334017247
• Reliure: Broché
• Nombre de pages: 85
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
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