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...
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| Hoofdauteurs: | , , |
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| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2011. |
| Reeks: | Progress in Nonlinear Differential Equations and Their Applications
81 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 100 | 1 | |a Rabinowitz, Paul. H., |d 1939-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Extensions of Moser Bangert theory : |b locally minimal solutions |c Paul H. Rabinowitz, Edward W. Stredulinsky. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications |v 81 |x 2374-0280 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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. | |
| 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 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 the Moser Bangert approach that include solutions of a family of nonlinear elliptic PDEs on Rn and an Allen Cahn PDE model of phase transitions. After recalling the relevant Moser Bangert results, Extensions of Moser Bangert Theory pursues the rich structure of the set of solutions of a simpler model case, expanding upon the studies of Moser and Bangert to include solutions that merely have local minimality properties. Subsequent chapters build upon the introductory results, making the monograph self contained. Part I introduces a variational approach involving a renormalized functional to characterize the basic heteroclinic solutions obtained by Bangert. Following that, Parts II and III employ these basic solutions together with constrained minimization methods to construct multitransition heteroclinic and homoclinic solutions on R.Tn-1 and R2.Tn-2, respectively, as local minima of the renormalized functional. The work is intended for mathematicians who specialize in partial differential equations and may also be used as a text for a graduate topics course in PDEs. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Équations différentielles non linéaires | ||
| 650 | |a Modèles non linéaires (statistique) | ||
| 700 | 1 | |a Stredulinsky, Edward William, |d 1953- |4 aut | |
| 700 | 1 | |a Stredulinsky, Edward W. |4 aut | |
| 776 | 0 | |0 154828793 |t Extensions of Moser-Bangert theory |o locally minimal solutions |f Paul H. Rabinowitz, Edward W. Stredulinsky |c New York |n Birkhäuser-Springer |d 2011 |p 1 vol. (VIII-208 p.) |s Progress in nonlinear differential equations and their applications |z 978-0-8176-8116-6 | |
| 776 | 0 | |t Extensions of Moser-Bangert Theory |b Texte imprimé |z 9780817681166 | |
| 776 | 0 | |t Extensions of Moser-Bangert Theory |b Texte imprimé |z 9780817681180 | |
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