Geometric Analysis and Nonlinear Partial Differential Equations

Table of Contents

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   Book Overview
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   Chapter 1 Olga Ladyzhenskaya
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   Chapter 2 On the Spectral Theory of Surfaces with Cusps
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   Chapter 3 The Dirac Determinant of Spherical Space Forms
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   Chapter 4 Constructing Isospectral Metrics via Principal Connections
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   Chapter 5 Parametrizations of Teichmüller Space and Its Thurston Boundary
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   Chapter 6 Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ℂ 4
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   Chapter 7 Global C 2+α -Estimates for Conformai Maps
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   Chapter 8 On Karcher’s Twisted Saddle Towers
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    Chapter 9 Unstable Periodic Discrete Minimal Surfaces
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    Chapter 10 An Adaptive Finite Element Method for Minimal Surfaces
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    Chapter 11 Singular Minimal Surfaces
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    Chapter 12 Note on the Isoperimetric Profile of a Convex Body
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    Chapter 13 Geometric Conditions on Free Boundaries
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    Chapter 14 On Generalized Mean Curvature Flow in Surface Processing
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    Chapter 15 A Finite Element Level Set Method for Anisotropic Mean Curvature Flow with Space Dependent Weight
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    Chapter 16 Optimal Regularity Results via A -Harmonic Approximation
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    Chapter 17 Dominance Functions for Parametric Lagrangians
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    Chapter 18 Convex Variational Problems with Linear Growth
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    Chapter 19 Studying Nonlinear pde by Geometry in Matrix Space
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    Chapter 20 On the Korteweg — de Vries Equation and KAM Theory
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    Chapter 21 Convergence of Approximate Solutions of Conservation Laws
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    Chapter 22 Nonlinear Hyperbolic Systems of Generalized Navier-Stokes Type for Interactive Motion in Biology
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    Chapter 23 On Peak and Periodic Solutions of an Integro-Differential Equation on S 1
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    Chapter 24 Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach
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    Chapter 25 Markov Semigroups and Harmonic Maps
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    Chapter 26 Boundary Regularity for Nonlinear Elliptic Systems: Applications to the Transmission Problem
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    Chapter 27 A Particle-Partition of Unity Method Part V: Boundary Conditions
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    Chapter 28 On Uniqueness- and Regularity Criteria for the Navier-Stokes Equations
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    Chapter 29 Problems Due to the No-Slip Boundary in Incompressible Fluid Dynamics
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    Chapter 30 Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions
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    Chapter 31 Existence of Strong Solutions for Electrorheological Fluids in Two Dimensions: Steady Dirichlet Problem
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    Chapter 32 Spinodal Decomposition in the Presence of Elastic Interactions
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    Chapter 33 Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach
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    Chapter 34 The Mathematics of Ostwald Ripening