Analysis, et Cetera

Analysis, et Cetera

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

1st Edition - January 28, 1990

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  • Editors: Paul H. Rabinowitz, Eduard Zehnder
  • eBook ISBN: 9781483268866

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Description

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


  • Dedication vi

    Acknowledgements

    Contributors

    Painlevé Solutions and Algebraic Complex Integrability

    A Representation Theorem for Solutions of the Helmholtz Equation and Resolvent Estimates for the Laplacian

    Dynamics of Intersections

    Laminations of 3-Tori by Least Area Surfaces

    Some Qualitative Properties of Solutions of Semilinear Elliptic Equations in Cylindrical Domains

    On Integrable Generalizations of Volterra Systems

    Forced Oscillations for The Triple Pendulum

    Historical Remarks on Gauss-Bonnet

    KAM Integrability

    Anderson Localization and KAM-Theory

    Nodal Sets of Eigenfunctions: Riemannian Manifolds with Boundary

    Peculiarities in the Development of the Theory of Lie Groups

    Generalization of an Estimate of Small Divisors by Siegel

    A Quick Proof of Fay's Secant Identities

    Combinatorics of the Free Lie Algebra and the Symmetric Group

    Minimizing Variational Integrals Among Diffeomorphisms

    A New Capacity for Symplectic Manifolds

    The Nash-Moser Theorem and Paradifferential Operators

    Symmetry Breaking in Semilinear Elliptic Problems

    Dynamics of Discrete Frenkel-Kontorova Models

    A Note on the Moser-Hald Variation of Newton's Method

    Complex Analysis on Riemann Surfaces Motivated by the Operatorial String Theory

    Periodic Solutions to Some Forced Singular Hamiltonian Systems

    On an Inequality for Trigonometric Polynomials in Several Variables

    Bifurcation to Semi-linear Elliptic Problems on an Infinite Strip Via the Nash-Moser Technique

    Floer Homology, the Maslov Index and Periodic Orbits of Hamiltonian Equations

    Determinants of Laplacians; Heights and Finiteness

    Ergodic Schrödinger Operators

    Multiple Solutions to the Dirichlet Problem for the Equation of Prescribed Mean Curvature

    A Priori Bounds to Graphs with Prescribed Curvature

    On the Derivation of Conservation Laws to Stochastic Dynamics

Product details

  • No. of pages: 706
  • Language: English
  • Copyright: © Academic Press 1990
  • Published: January 28, 1990
  • Imprint: Academic Press
  • eBook ISBN: 9781483268866

About the Editors

Paul H. Rabinowitz

Eduard Zehnder

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