Analysis, et Cetera - 1st Edition - ISBN: 9780125742498, 9781483268866

Analysis, et Cetera

1st Edition

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

Editors: Paul H. Rabinowitz Eduard Zehnder
eBook ISBN: 9781483268866
Imprint: Academic Press
Published Date: 28th January 1990
Page Count: 706
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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



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


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© Academic Press 1990
Academic Press
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About the Editor

Paul H. Rabinowitz

Eduard Zehnder

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