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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Elliptic Partial Differential Equations of Second Order ([EBook]) / by David Gilbarg, Neil S. Trudinger.
Author	Gilbarg, David , 1918-2001
Added Personal Name	Trudinger, Neil S. , 1942- author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2001.
Physical Details	XIII, 518 pages : online resource.
Series	Classics in mathematics 0072-7830 ; ; 224
ISBN	9783642617980
Summary Note	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. Although the material has been developed from lectures at Stanford, it has developed into an almost systematic coverage that is much longer than could be covered in a year's lectures". Newsletter, New Zealand Mathematical Society, 1985 "Primarily addressed to graduate students this elegant book is accessible and useful to a broad spectrum of applied mathematicians". Revue Roumaine de Mathématiques Pures et Appliquées,1985.:
Contents note	1. Introduction -- I. Linear Equations -- 2. Laplace’s Equation -- 3. The Classical Maximum Principle -- 4. Poisson’s Equation and the Newtonian Potential -- 5. Banach and Hubert Spaces -- 6. Classical Solutions; the Schauder Approach -- 7. Sobolev Spaces -- 8. Generalized Solutions and Regularity -- 9. Strong Solutions -- II. Quasilinear Equations -- 10. Maximum and Comparison Principles -- 11. Topological Fixed Point Theorems and Their Application -- 12. Equations in Two Variables -- 13. Hölder Estimates for the Gradient -- 14. Boundary Gradient Estimates -- 15. Global and Interior Gradient Bounds -- 16. Equations of Mean Curvature Type -- 17. Fully Nonlinear Equations -- Epilogue -- Notation Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-61798-0
Links to Related Works	Subject References: Mathematics . Partial differential equations . Authors: author . Gilbarg, David 1918-2001 . Trudinger, Neil S., 1942- . Corporate Authors: SpringerLink (Online service) . Series: Classics in mathematics . Classification: 515.353 .

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Elliptic Partial Differential Equations of Second Order

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