Elliptic Partial Differential Equations of Second Order by David Gilbarg
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. this book contains the essential background that a researcher in elliptic PDEs should possess the day s/he gets a permanent academic position.-
Introduction to Calculus and Analysis I
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Finite Geometries
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Function Theory in the Unit Ball of Cn
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The Analysis of Linear Partial Differential Operators III
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Combinatorial Group Theory
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Algebraic Geometry I
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Complex Manifolds and Deformation of Complex Structures
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Geometric Measure Theory
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Multiple Integrals in the Calculus of Variations
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Number Theory
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Stability Theory of Dynamical Systems
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Lectures on Celestial Mechanics
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The Analysis of Linear Partial Differential Operators I
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Algebraic Surfaces
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Diffusion Processes and their Sample Paths
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Transformation Groups in Differential Geometry
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Topological Methods in Algebraic Geometry
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C*-Algebras and W*-Algebras
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The Theory of Stochastic Processes II
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Combinatorial Theory
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The Theory of Stochastic Processes I
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Theory of Stein Spaces
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Homology
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The Theory of Stochastic Processes III
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An Introduction to the Geometry of Numbers
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Introduction to Calculus and Analysis II/2
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Introduction to Quadratic Forms
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Entropy, Large Deviations, and Statistical Mechanics
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Hamiltonian Methods in the Theory of Solitons
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Einstein Manifolds
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Classical Potential Theory and Its Probabilistic Counterpart
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K-Theory
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Algebraic Topology - Homotopy and Homology
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Problems and Theorems in Analysis I
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Probability in Banach Spaces
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The Analysis of Linear Partial Differential Operators IV
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Lectures on Algebraic Topology
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Problems and Theorems in Analysis II
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Interacting Particle Systems
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The Analysis of Linear Partial Differential Operators II
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Practical Quantum Mechanics
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Perturbation Theory for Linear Operators
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Introduction to Calculus and Analysis II/1
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Functional Analysis
“This book is a bibliographical monument to the theory of both theoretical and applied PDEs that has not acquired any flaws due to its ageOn 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
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
Biography of David Gilbarg David 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. Trudinger Neil 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.
| SKU | Unavailable |
| ISBN 13 | 9783540411604 |
| ISBN 10 | 3540411607 |
| Title | Elliptic Partial Differential Equations of Second Order |
| Author | David Gilbarg |
| Series | Classics In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG |
| Year published | 2001-01-12 |
| Number of pages | 518 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |