---

＜電子ブック＞
Elliptic Partial Differential Equations of Second Order / by David Gilbarg, Neil S. Trudinger
(Classics in Mathematics. ISSN:25125257 ; 224)

版	2nd ed. 2001.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	2001
本文言語	英語
大きさ	XIII, 518 p : online resource
冊子体	Elliptic partial differential equations of second order / David Gilbarg, Neil S. Trudinger ; : gw,: us Elliptic partial differential equations of second order / David Gilbarg, Neil S. Trudinger
著者標目	*Gilbarg, David author Trudinger, Neil S author SpringerLink (Online service)
件　名	LCSH:Differential equations FREE:Differential Equations
一般注記	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 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 " ... as should be clear from the previous discussion, 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. In a few words, in my modest opinion, “. . . this book contains the essential background that a researcher in elliptic PDEs should possess the day s/he gets a permanent academic position. . . .” SIAM Newsletter Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-642-61798-0

 類似資料