Analysis, et Cetera
Research Papers Published in Honor of Jürgen Moser's 60th Birthday
Published on 10. May 2014
706 pages
978-1-4832-6886-6 (ISBN)
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.
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01/1990
Academic Press
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Content
Dedication viAcknowledgementsContributorsPainlevé Solutions and Algebraic Complex IntegrabilityA Representation Theorem for Solutions of the Helmholtz Equation and Resolvent Estimates for the LaplacianDynamics of IntersectionsLaminations of 3-Tori by Least Area SurfacesSome Qualitative Properties of Solutions of Semilinear Elliptic Equations in Cylindrical DomainsOn Integrable Generalizations of Volterra SystemsForced Oscillations for The Triple PendulumHistorical Remarks on Gauss-BonnetKAM IntegrabilityAnderson Localization and KAM-TheoryNodal Sets of Eigenfunctions: Riemannian Manifolds with BoundaryPeculiarities in the Development of the Theory of Lie GroupsGeneralization of an Estimate of Small Divisors by SiegelA Quick Proof of Fay's Secant IdentitiesCombinatorics of the Free Lie Algebra and the Symmetric GroupMinimizing Variational Integrals Among DiffeomorphismsA New Capacity for Symplectic ManifoldsThe Nash-Moser Theorem and Paradifferential OperatorsSymmetry Breaking in Semilinear Elliptic ProblemsDynamics of Discrete Frenkel-Kontorova ModelsA Note on the Moser-Hald Variation of Newton's MethodComplex Analysis on Riemann Surfaces Motivated by the Operatorial String TheoryPeriodic Solutions to Some Forced Singular Hamiltonian SystemsOn an Inequality for Trigonometric Polynomials in Several VariablesBifurcation to Semi-linear Elliptic Problems on an Infinite Strip Via the Nash-Moser TechniqueFloer Homology, the Maslov Index and Periodic Orbits of Hamiltonian EquationsDeterminants of Laplacians; Heights and FinitenessErgodic Schrödinger OperatorsMultiple Solutions to the Dirichlet Problem for the Equation of Prescribed Mean CurvatureA Priori Bounds to Graphs with Prescribed CurvatureOn the Derivation of Conservation Laws to Stochastic Dynamics
