Overview

This well-organized and coherent collection of papers leads the reader to the frontiers of present research in the theory of nonlinear partial differential equations and the calculus of variations and offers insight into some exciting developments. In addition, most articles also provide an excellent introduction to their background, describing extensively as they do the history of those problems presented, as well as the state of the art and offer a well-chosen guide to the literature. Part I contains the contributions of geometric nature: From spectral theory on regular and singular spaces to regularity theory of solutions of variational problems. Part II consists of articles on partial differential equations which originate from problems in physics, biology and stochastics. They cover elliptic, hyperbolic and parabolic cases.

Full Product Details

Author:   Stefan Hildebrandt ,  Hermann Karcher
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2003 ed.
Dimensions:   Width: 15.50cm , Height: 4.10cm , Length: 23.50cm
Weight:   1.311kg
ISBN:  

9783540440512

ISBN 10:   3540440518
Pages:   673
Publication Date:   01 November 2002
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

Reviews

Author Information

Tab Content 6

Author Website:  

Countries Available

All regions