Geometric Analysis and Nonlinear Partial Differential Equations

Geometric Analysis and Nonlinear Partial Differential Equations

Paperback(Softcover reprint of the original 1st ed. 2003)

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Product Details

ISBN-13: 9783642628870
Publisher: Springer Berlin Heidelberg
Publication date: 04/14/2013
Edition description: Softcover reprint of the original 1st ed. 2003
Pages: 673
Product dimensions: 6.10(w) x 9.25(h) x 0.05(d)

Table of Contents

Olga Ladyzhenskaya—A Life-Long Devotion to Mathematics.- I. Geometric Analysis and Calculus of Variations.- On the Spectral Theory of Surfaces with Cusps.- The Dirac Determinant of Spherical Space Forms.- Constructing Isospectral Metrics via Principal Connections.- Parametrizations of Teichmüller Space and Its Thurston Boundary.- Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ?4.- Global C2+?-Estimates for Conformai Maps.- On Karcher’s Twisted Saddle Towers.- Unstable Periodic Discrete Minimal Surfaces.- An Adaptive Finite Element Method for Minimal Surfaces.- Singular Minimal Surfaces.- Note on the Isoperimetric Profile of a Convex Body.- Geometric Conditions on Free Boundaries.- On Generalized Mean Curvature Flow in Surface Processing.- A Finite Element Level Set Method for Anisotropic Mean Curvature Flow with Space Dependent Weight.- Optimal Regularity Results via A-Harmonic Approximation.- Dominance Functions for Parametric Lagrangians.- Convex Variational Problems with Linear Growth.- II. Nonlinear Partial Differential Equations.- Studying Nonlinear pde by Geometry in Matrix Space.- On the Korteweg — de Vries Equation and KAM Theory.- Convergence of Approximate Solutions of Conservation Laws.- Nonlinear Hyperbolic Systems of Generalized Navier-Stokes Type for Interactive Motion in Biology.- On Peak and Periodic Solutions of an Integro-Differential Equation on S1.- Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach.- Markov Semigroups and Harmonic Maps.- Boundary Regularity for Nonlinear Elliptic Systems: Applications to the Transmission Problem.- A Particle-Partition of Unity Method — Part V: Boundary Conditions.- On Uniqueness- and Regularity Criteria for the Navier-Stokes Equations.- Problems Due to the No-Slip Boundary in Incompressible Fluid Dynamics.- Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions.- Existence of Strong Solutions for Electrorheological Fluids in Two Dimensions: Steady Dirichlet Problem.- Spinodal Decomposition in the Presence of Elastic Interactions.- Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach.- The Mathematics of Ostwald Ripening.- Appendix. Color Plates.

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