Elliptic and Parabolic Problems

A Special Tribute to the Work of Haim Brezis

By: Catherine Bandle (Editor), Henri Berestycki (Editor), Bernhard Brighi (Editor)

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Hardcover | 19 July 2005

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484 Pages

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24.13 x 17.15 x 3.18

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This volume contains contributions by former students and collaborators of Haim Brezis given in honor of his 60th anniversary at a conference in Gaeta. H. Brezis has made significant contributions in the fields of partial differential equations and functional analysis. He is an inspiring teacher and counselor of many mathematicians in the front ranks. The collection of papers presented here grew out from his deep insight of analysis. In addition it reflects Brezis's elegant way of creative thinking.

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Preface	p. ix
One-Layer Free Boundary Problems with Two Free Boundaries	p. 1
New Numerical Solutions for the Brezis-Nirenberg Problem on S[superscript n]	p. 13
On some Boundary Value Problems for Incompressible Viscous Flows with Shear Dependent Viscosity	p. 23
Radiative Heat Transfer in Silicon Purification	p. 33
A Decay Result for a Quasilinear Parabolic System	p. 43
The Shape of Charged Drops: Symmetry-breaking Bifurcations and Numerical Results	p. 51
On the One-dimensional Parabolic Obstacle Problem with Variable Coefficients	p. 59
Hardy Potentials and Quasi-linear Elliptic Problems Having Natural Growth Terms	p. 67
Recent Advances on Similarity Solutions Arising During Free Convection	p. 83
Rellich Relations for Mixed Boundary Elliptic Problems	p. 93
Lyapunov-type Inequalities and Applications to PDE	p. 103
Gaeta 2004. Elliptic Resonant Problems with a Periodic Nonlinearity	p. 111
Harnack Inequality for p-Laplacians on Metric Fractals	p. 119
Wave Propagation in Discrete Media	p. 127
A Solution of the Heat Equation with a Continuum of Decay Rates	p. 135
Finite Volume Scheme for Semiconductor Energy-transport Model	p. 139
Asymptotic Behavior of Nonlinear Parabolic Problems with Periodic Data	p. 147
Geodesic Computations for Fast and Accurate Surface Remeshing and Parameterization	p. 157
On the Newton Body Type Problems	p. 173
Some Open Problems on Water Tank Control Systems	p. 179
Holder Estimates for Solutions to a Singular Nonlinear Neumann Problem	p. 189
Asymptotic Analysis of the Neumann Problem for the Ukawa Equation in a Thick Multi-structure of Type 3 : 2 : 2	p. 207
On the Haim Brezis Pioneering Contributions on the Location of Free Boundaries	p. 217
Fractal Conservation Laws: Global Smooth Solutions and Vanishing Regularization	p. 235
Stationary and Self-similar Solutions for Coagulation and Fragmentation Equations	p. 243
Orlicz Capacities and Applications to PDEs and Sobolev Mappings	p. 259
Energy Forms on Non Self-similar Fractals	p. 267
Measure Data and Numerical Schemes for Elliptic Problems	p. 279
Brezis-Nirenberg Problem and Coron Problem for Polyharmonic Operators	p. 291
Local and Global Properties of Solutions of a Nonlinear Boundary Layer Equation	p. 299
Mathematical Models of Aggregation: The Role of Explicit Solutions	p. 309
Metastable Behavior of Premixed Gas Flames	p. 319
Recent Progress on Boundary Blow-up	p. 329
Maximum Principle for Bounded Solutions of the Telegraph Equation: The Case of High Dimensions	p. 343
Kolmogorov Equations in Physics and in Finance	p. 353
Harnack Inequalities and Gaussian Estimates for a Class of Hypoelliptic Operators	p. 365
How to Construct Good Measures	p. 375
Bifurcation and Asymptotics for Elliptic Problems with Singular Nonlinearity	p. 389
A Model for Hysteresis in Mechanics Using Local Minimizers of Young Measures	p. 403
The Precise L[superscript p]-theory of Elliptic Equations in the Plane	p. 415
Essential Spectrum and Noncontrollability of Membrane Shells	p. 423
The Porous Medium Equation. New Contractivity Results	p. 433
Large Solutions of Elliptic Equations with Strong Absorption	p. 453
Relaxation in Presence of Pointwise Gradient Constraints	p. 465
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Elliptic and Parabolic Problems

A Special Tribute to the Work of Haim Brezis

At a Glance

Hardcover

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