Elliptic Partial Differential Equations of Second Order by David Gilbarg (PDF)

Description

From the reviews: “This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student.” –New Zealand Mathematical Society, 1985

User’s Reviews

Editorial Reviews: Review “This book is a bibliographical monument to the theory of both theoretical and applied PDEs that has not acquired any flaws due to its age. On the contrary, it remains a crucial and essential tool for the active research in the field.” (Francesco Petitta, SIAM Review, Vol. 61 (4), December, 2019)From the reviews:”The aim of the book is to present “the systematic development of the general theory of second order quasilinear elliptic equations and of the linear theory required in the process”. The book is divided into two parts. The first (Chapters 2-8) is devoted to the linear theory, the second (Chapters 9-15) to the theory of quasilinear partial differential equations. These 14 chapters are preceded by an Introduction (Chapter 1) which expounds the main ideas and can serve as a guide to the book. …The authors have succeeded admirably in their aims; the book is a real pleasure to read”.Mathematical Reviews,1986 “Advanced students and professionals are snapping up this paperback text on linear and quasilinear partial differential equations. Whether you use their book as textbook or reference, the authors give you plenty to think about and work on, including an epilogue summarizing the latest research.”Amazon.com delivers Mathematics and Statistics e-bulletin, July 2001 About the Author Biography of David GilbargDavid Gilbarg was born in New York in 1918, and was educated there through udergraduate school. He received his Ph.D. degree at Indiana University in 1941. His work in fluid dynamics during the war years motivated much of his later research on flows with free boundaries. He was on the Mathematics faculty at Indiana University from 1946 to 1957 and at Stanford University from 1957 on. His principal interests and contributions have been in mathematical fluid dynamics and the theory of elliptic partial differential equations. Biography of Neil S. TrudingerNeil S. Trudinger was born in Ballarat, Australia in 1942. After schooling and undergraduate education in Australia, he completed his PhD at Stanford University, USA in 1966. He has been a Professor of Mathematics at the Australian National University, Canberra since 1973. His research contributions, while largely focussed on non-linear elliptic partial differential equations, have also spread into geometry, functional analysis and computational mathematics. Among honours received are Fellowships of the Australian Academy of Science and of the Royal Society of London.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a good one for PDEs.

⭐wonderful

⭐Perfect

⭐der klare Vorzug dieses Buches ist, daß er weite Teile der elliptischen Theorie abdeckt, ohne jedoch zuviel Vorwissen an Analysis und Funktionalanalysis vorauszusetzen. Es empfiehlt sich daher sehr als Lehrbuch. Die aktualisierte Auflage enthält ferner relevante Neuerungen aus der nicht-linearen Theorie.Livre parfait pour appréhender les équation elliptiques (qu’on soit novice ou non)I like it very much. It is very useful for better understanding the elliptic partial differential equations. It is a basic reference. I recommend it to everyone:)

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