Format:
Online-Ressource (XIV, 522 p. 2 illus)
,
online resource
Edition:
Springer eBook Collection. Mathematics and Statistics
ISBN:
9783642617980
Series Statement:
Classics in Mathematics 224
Content:
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
Note:
1. IntroductionI. 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.
Additional Edition:
ISBN 9783540411604
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783540411604
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783642617997
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783540130253
Language:
English
DOI:
10.1007/978-3-642-61798-0
URL:
Volltext
(lizenzpflichtig)
