Elliptic Partial Differential Equations of Second Order / by David Gilbarg, Neil S. Trudinger
(Classics in Mathematics ; 224)
| データ種別 | 電子ブック |
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| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg |
| 出版年 | 2001 |
| 本文言語 | 英語 |
| 大きさ | XIII, 518 p : online resource |
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| 内容注記 | 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 |
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| 一般注記 | 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 |
| 著者標目 | *Gilbarg, David author Trudinger, Neil S. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Partial differential equations FREE:Mathematics FREE:Partial Differential Equations |
| 分 類 | DC23:515.353 |
| 巻冊次 | ISBN:9783642617980 
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| ISBN | 9783642617980 |
| URL | http://dx.doi.org/10.1007/978-3-642-61798-0 |
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