Title | Geometric Analysis and Nonlinear Partial Differential Equations [electronic resource] / edited by Stefan Hildebrandt, Hermann Karcher |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2003 |
Connect to | http://dx.doi.org/10.1007/978-3-642-55627-2 |
Descript | IX, 673 p. 151 illus. online resource |
Olga LadyzhenskayaโA 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 Teichmรผller Space and Its Thurston Boundary -- Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ?4 -- Global C2+?-Estimates for Conformai Maps -- On Karcherโs 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 โ 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 โ 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 โ A Unifying Approach -- The Mathematics of Ostwald Ripening -- Appendix. Color Plates