Geometric Analysis and Nonlinear Partial Differential Equations

By: Stefan Hildebrandt (Editor), Hermann Karcher (Editor)

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Hardcover | 1 December 2001

At a Glance

Hardcover
690 Pages

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23.39 x 15.6 x 3.66

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$182.13

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This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of the presented problems as well as the state of the art and offer a well chosen guide to the literature. This way the papers became lengthier than customary these days, but the level of presentation is such that an advanced graduate student should find the various articles both readable and stimulating.

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You Can Find This Book In

Non-Fiction Mathematics Geometry Differential & Riemannian Geometry Calculus & Mathematical Analysis Differential Calculus & Equations

Olga Ladyzhenskaya - A Life-Long Devotion to Mathematics	p. 1
On the Spectral Theory of Surfaces with Cusps	p. 13
The Dirac Determinant of Spherical Space Forms	p. 39
Constructing Isospectral Metrics via Principal Connections	p. 69
Parametrizations of Teichmuller Space and Its Thurston Boundary	p. 81
Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in C[superscript 4]	p. 89
Global C[superscript 2+[alpha]]-Estimates for Conformal Maps	p. 105
On Karcher's Twisted Saddle Towers	p. 117
Unstable Periodic Discrete Minimal Surfaces	p. 129
An Adaptive Finite Element Method for Minimal Surfaces	p. 147
Singular Minimal Surfaces	p. 177
Note on the Isoperimetric Profile of a Convex Body	p. 195
Geometric Conditions on Free Boundaries	p. 201
On Generalized Mean Curvature Flow in Surface Processing	p. 217
A Finite Element Level Set Method for Anisotropic Mean Curvature Flow with Space Dependent Weight	p. 249
Optimal Regularity Results via A-Harmonic Approximation	p. 265
Dominance Functions for Parametric Lagrangians	p. 297
Convex Variational Problems with Linear Growth	p. 327
Studying Nonlinear pde by Geometry in Matrix Space	p. 347
On the Korteweg - de Vries Equation and KAM Theory	p. 397
Convergence of Approximate Solutions of Conservation Laws	p. 417
Nonlinear Hyperbolic Systems of Generalized Navier-Stokes Type for Interactive Motion in Biology	p. 431
On Peak and Periodic Solutions of an Integro-Differential Equation on S[superscript 1]	p. 463
Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach	p. 475
Markov Semigroups and Harmonic Maps	p. 487
Boundary Regularity for Nonlinear Elliptic Systems: Applications to the Transmission Problem	p. 505
A Particle-Partition of Unity Method - Part V: Boundary Conditions	p. 519
On Uniqueness- and Regularity Criteria for the Navier-Stokes Equations	p. 543
Problems Due to the No-Slip Boundary in Incompressible Fluid Dynamics	p. 559
Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions	p. 573
Existence of Strong Solutions for Electrorheological Fluids in Two Dimensions: Steady Dirichlet Problem	p. 591
Spinodal Decomposition in the Presence of Elastic Interactions	p. 603
Waiting Time Phenomena for Degenerate Parabolic Equations - A Unifying Approach	p. 637
The Mathematics of Ostwald Ripening	p. 649
App.: Color Plates	p. 665
Table of Contents provided by Blackwell. All Rights Reserved.

Geometric Analysis and Nonlinear Partial Differential Equations

At a Glance

Hardcover

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How to return your order

Defective items

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