Partial differential equations
This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Edición: | 3rd ed. 2013. |
| Colección: | Graduate Texts in Mathematics
214 |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Partial differential equations, Jürgen Jost, 3rd edition, 2013, New York, Springer, 1 vol. (XIII-410 p.), Graduate texts in mathematics, 978-1-4614-4808-2 |
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| 100 | 1 | |a Jost, Jürgen, |d 1956-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Partial differential equations |c by Jürgen Jost. |
| 250 | |a 3rd ed. 2013. | ||
| 260 | |a New York, NY : |b Springer New York : |b Imprint: Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 214 |x 0072-5285 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Introduction: What are Partial Differential Equations? 1 The Laplace equation as the Prototype of an Elliptic Partial Differential Equation of Second Order 2 The Maximum Principle 3 Existence Techniques I: Methods Based on the Maximum Principle 4 Existence Techniques II: Parabolic Methods. The Heat Equation 5 Reaction-Diffusion Equations and Systems 6 Hyperbolic Equations 7 The Heat Equation, Semigroups, and Brownian Motion.- 8 Relationships between Different Partial Differential Equations 9 The Dirichlet Principle. Variational Methods for the Solutions of PDEs (Existence Techniques III) 10 Sobolev Spaces and L^2 Regularity theory 11 Strong solutions 12 The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV) 13The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash Appendix: Banach and Hilbert spaces. The L^p-Spaces References Index of Notation Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. In particular, the reader will learn the basic techniques underlying current research in elliptic partial differential equations.This revised and expanded third edition is enhanced with many additional examples that will help motivate the reader. New features include a reorganized and extended chapter on hyperbolic equations, as well as a new chapter on the relations between different types of partial differential equations, including first-order hyperbolic systems, Langevin and Fokker-Planck equations, viscosity solutions for elliptic PDEs, and much more. Also, the new edition contains additional material on systems of elliptic partial differential equations, and it explains in more detail how the Harnack inequality can be used for the regularity of solutions | ||
| 776 | 0 | |0 166371688 |t Partial differential equations |f Jürgen Jost |e 3rd edition |d 2013 |c New York |n Springer |p 1 vol. (XIII-410 p.) |s Graduate texts in mathematics |z 978-1-4614-4808-2 | |
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