Analysis, et Cetera
Research Papers Published in Honor of Jürgen Moser's 60th Birthday
- 1st Edition - January 28, 1990
- Latest edition
- Editors: Paul H. Rabinowitz, Eduard Zehnder
- Language: English
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… Read more
Description
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
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
Product details
- Edition: 1
- Latest edition
- Published: January 28, 1990
- Language: English
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