Elliptic Partial Differential Equations of Second Order - Paperback
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Elliptic Partial Differential Equations of Second Order
This authoritative graduate textbook by David Gilbarg and Neil S. Trudinger provides a comprehensive, self-contained treatment of elliptic partial differential equations of second order. Published by Springer as part of the Classics in Mathematics series, this work has established itself as essential reading for PhD students and researchers working with differential equations.
Comprehensive Mathematical Treatment
The authors have structured this text to serve both as a reference work and as a learning resource. The self-contained approach means that readers can work through the material independently, making it particularly valuable for self-study and advanced coursework. The treatment covers the fundamental theory and applications of second-order elliptic PDEs, drawing on the authors' extensive research contributions to the field.
Expert Authorship
David Gilbarg (1918, New York) brought decades of experience from Indiana University and Stanford University, with research spanning mathematical fluid dynamics and elliptic partial differential equations. His work on flows with free boundaries during the war years informed much of the theoretical framework presented in this text.
Neil S. Trudinger (1942, Ballarat, Australia) completed his PhD at Stanford in 1966 and has been Professor of Mathematics at the Australian National University since 1973. His research in non-linear elliptic partial differential equations, geometry, functional analysis, and computational mathematics provides crucial depth to the text's coverage. His Fellowships in both the Australian Academy of Science and the Royal Society of London underscore the academic rigor of this work.
Academic Applications
This paperback edition serves multiple academic purposes: as required reading for doctoral programs, as a professional reference for researchers in applied mathematics and mathematical analysis, and as a university-level textbook for advanced graduate courses. The New Zealand Mathematical Society noted in 1985 that anyone working with differential equations would find this book valuable, whether for reference or instruction.
Content and Approach
The text focuses specifically on second-order elliptic partial differential equations, providing rigorous mathematical proofs and theoretical foundations. The self-contained nature of the treatment means that necessary background material is included, though this remains a PhD-level text requiring substantial mathematical preparation.
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.
Edition
2nd Edition
Contributor(s)
Authors
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