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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rabinowitz, Paul H. (Autor), Stredulinsky, Edward W. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:Progress in Nonlinear Differential Equations and Their Applications, 81
Temas:
Differential equations.
Mathematical optimization.
Calculus of variations.
Dynamical systems.
Mathematical analysis.
Food science.
Differential Equations.
Calculus of Variations and Optimization.
Dynamical Systems.
Analysis.
Food Science.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

Ejemplares similares