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Inhaltsangabe
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.
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Remarks on Strongly Elliptic Partial Differential Equations (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: New. Print on Demand. This book explores the theory of linear elliptic partial differential equations and offers a comprehensive treatment of strongly elliptic systems. Providing a self-contained development of the main ideas in this area of mathematics, the author begins with a review of the basic theory of function spaces, introducing the notion of weak solutions and proving existence and regularity theorems for elliptic equations and systems. The book then delves into the theory of strongly elliptic systems, providing detailed proofs of fundamental results and discussing the Dirichlet problem, boundary value problems, and differentiability properties of solutions. Significantly, the author extends the Hilbert space theory of the Dirichlet problem to strongly elliptic systems. This book is a valuable resource for researchers and graduate students working in partial differential equations, offering a systematic presentation of the theory and its applications. 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. print-on-demand item. Bestandsnummer des Verkäufers 9781334017247_0
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Remarks on Strongly Elliptic Partial Differential Equations Classic Reprint
Anbieter: PBShop.store US, Wood Dale, IL, USA
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781334017247
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Remarks on Strongly Elliptic Partial Differential Equations Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781334017247
Neu kaufen
EUR 25,07
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