Analysis, et Cetera

Research Papers Published in Honor of Jürgen Moser's 60th Birthday

Paul H. Rabinowitz, Eduard Zehnder

• Publisher: Academic Press
• Year: 2014
• ISBN:
  9781483268866
• Topic: Mathematics
• Subtopic: Mathematical Analysis
• Index: Mathematics

Analysis, et cetera: Research Papers Published in Honor of Jürgen Moser's 60th Birthday provides a collection of papers dedicated to Jürgen Moser on the occasion of his 60th birthday. This book covers a variety of topics, including Helmholtz equation, algebraic complex integrability, theory of Lie groups, and trigonometric polynomials. Organized into 31 chapters, this book begins with an overview of some basic consequences of the definition of algebraic complete integrability. This text then derives a representation theorem for solutions of the Helmholtz equation. Other chapters consider the integrable generalizations of the Volterra system and explain the dynamical system in the finite-dimensional case. This book discusses as well the global periodic solutions for the planar triple pendulum. The final chapter deals with the problem of deriving the macroscopic conservation laws, or the Euler equations, in accurate fashion from the microscopic equations of classical mechanics. This book is a valuable resource for mathematicians.

Table of contents

• Front Cover
• Analysis, et Cetera: Research Papers Published in Honor of Jürgen Moser's 60th Birthday
• Copyright Page
• Table of Contents
• Dedication
• Acknowledgements
• Contributors
• Chapter 1. Painlevé Solutions and Algebraic Complex Integrability
• Chapter 2. A Representation Theorem for Solutions of the Helmholtz Equation and Resolvent Estimates for The Laplacian
• Chapter 3. Dynamics of Intersections
• Chapter 4. Laminations of 3-Tori by Least Area Surfaces
• Chapter 5. Some Qualitative Properties of Solutions of Semilinear Elliptic Equations in Cylindrical Domains
• Chapter 6. On Integrable Generalizations of Volterra Systems
• Chapter 7. Forced Oscillations for the Triple Pendulum
• Chapter 8. Historical Remarks on Gauss-Bonnet
• Chapter 9. KAM Integrability
• Chapter 10. Anderson Localization and KAM-Theory
• Chapter 11. Nodal Sets of Eigenfunctions: Riemannian Manifolds With Boundary
• Chapter 12. Peculiarities in the Development of the Theory of Lie Groups
• Chapter 13. Generalization of an Estimate of Small Divisors by Siegel
• Chapter 14. A Quick Proof of Fay's Secant Identities
• Chapter 15. Combinatorics of the Free Lie Algebra and the Symmetric Group
• Chapter 16. Minimizing Variational Integrals Among Diffeomorphisms
• Chapter 17. A New Capacity for Symplectic Manifolds
• Chapter 18. The Nash-Moser Theorem and Paradifferential Operators
• Chapter 19. Symmetry Breaking in Semilinear Elliptic Problems
• Chapter 20. Dynamics of Discrete Frenkel—Kontorova Models
• Chapter 21. A Note on the Moser-Hald Variation of Newton's Method
• Chapter 22. Complex Analysis On Riemann Surfaces Motivated By The Operatorial String Theory
• Chapter 23. Periodic Solutions for Some Forced Singular Hamiltonian Systems
• Chapter 24. On an Inequality for Trigonometric Polynomials In Several Variables
• Chapter 25. Bifurcation for Semi-linear Elliptic Problems on an Infinite Strip Via the Nash-Moser Technique
• Chapter 26. Floer Homology, the Maslov Index And Periodic Orbits of Hamiltonian Equations
• Chapter 27. Determinants of Laplacians; Heights and Finiteness
• Chapter 28. Ergodic Schrödinger Operators
• Chapter 29. Multiple Solutions to the Dirichlet Problem for the Equation of Prescribed Mean Curvature Michael Struwe
• Chapter 30. A Priori Bounds for Graphs With Prescribed Curvature
• Chapter 31. On the Derivation of Conservation Laws for Stochastic Dynamics