ISBN: 9781334017247 - remarks on strongly elliptic partial differential equations (classic reprint) (3 Ergebnisse)

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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.…