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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Rabinowitz, Paul H. (Author), Stredulinsky, Edward W. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
Edition:1st ed. 2011.
Series:Progress in Nonlinear Differential Equations and Their Applications, 81
Subjects:
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.
Online Access:Texto Completo
Table of Contents:
  • 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.

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