Extensions of Moser Bangert theory : locally minimal solutions
With the goal of establishing a version for partial differential equations (PDEs) of the Aubry Mather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of...
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2011. |
| Serie: | Progress in Nonlinear Differential Equations and Their Applications
81 |
| Soggetti: | |
| Accesso online: | 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: | • Extensions of Moser-Bangert theory, locally minimal solutions, Paul H. Rabinowitz, Edward W. Stredulinsky, New York, Birkhäuser-Springer, 2011, 1 vol. (VIII-208 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-8116-6 • Extensions of Moser-Bangert Theory, Texte imprimé, 9780817681166 • Extensions of Moser-Bangert Theory, Texte imprimé, 9780817681180 |
Sommario:
- 1 Introduction Part I: Basic Solutions 2 Function Spaces and the First Renormalized Functional 3 The Simplest Heteroclinics 4 Heteroclinics in x1 and x2 5 More Basic Solutions Part II: Shadowing Results 6 The Simplest Cases 7 The Proof of Theorem 6.8 8 k-Transition Solutions for k > 2 9 Monotone 2-Transition Solutions 10 Monotone Multitransition Solutions 11 A Mixed Case Part III: Solutions of (PDE) Defined on R^2 x T^{n-2} 12 A Class of Strictly 1-Monotone Infinite Transition Solutions of (PDE) 13 Solutions of (PDE) with Two Transitions in x1 and Heteroclinic Behavior in x2.