Ebook: Elliptic and Parabolic Problems: A Special Tribute to the Work of Haim Brezis

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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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.

Content:
Front Matter....Pages I-IX
One-Layer Free Boundary Problems with Two Free Boundaries....Pages 1-12
On some Boundary Value Problems for Incompressible Viscous Flows with Shear Dependent Viscosity....Pages 13-21
Radiative Heat Transfer in Silicon Purification....Pages 23-32
A Decay Result for a Quasilinear Parabolic System....Pages 33-42
The Shape of Charged Drops: Symmetrybreaking Bifurcations and Numerical Results....Pages 43-50
On the One-dimensional Parabolic Obstacle Problem with Variable Coefficients....Pages 51-58
Hardy Potentials and Quasi-linear Elliptic Problems Having Natural Growth Terms....Pages 59-66
Recent Advances on Similarity Solutions Arising During Free Convection....Pages 67-82
Rellich Relations for Mixed Boundary Elliptic Problems....Pages 83-92
Lyapunov-type Inequalities and Applications to PDE....Pages 93-102
Gaeta 2004. Elliptic Resonant Problems with a Periodic Nonlinearity....Pages 103-110
Harnack Inequality for p-Laplacians on Metric Fractals....Pages 111-118
Wave Propagation in Discrete Media....Pages 119-126
A Solution of the Heat Equation with a Continuum of Decay Rates....Pages 127-134
Finite Volume Scheme for Semiconductor Energy-transport Model....Pages 135-138
Asymptotic Behavior of Nonlinear Parabolic Problems with Periodic Data....Pages 139-146
Geodesic Computations for Fast and Accurate Surface Remeshing and Parameterization....Pages 147-156
On the Newton Body Type Problems....Pages 157-171
Some Open Problems on Water Tank Control Systems....Pages 173-177
H?lder Estimates for Solutions to a Singular Nonlinear Neumann Problem....Pages 179-188
Asymptotic Analysis of the Neumann Problem for the Ukawa Equation in a Thick Multi-structure of Type 3:2:2....Pages 189-205
On the Ha?m Brezis Pioneering Contributions on the Location of Free Boundaries....Pages 207-215
Fractal Conservation Laws: Global Smooth Solutions and Vanishing Regularization....Pages 217-234
Stationary and Self-similar Solutions for Coagulation and Fragmentation Equations....Pages 235-242
Orlicz Capacities and Applications to PDEs and Sobolev Mappings....Pages 243-258
Energy Forms on Non Self-similar Fractals....Pages 259-266
Measure Data and Numerical Schemes for Elliptic Problems....Pages 267-277
Brezis-Nirenberg Problem and Coron Problem for Polyharmonic Operators....Pages 279-290
Local and Global Properties of Solutions of a Nonlinear Boundary Layer Equation....Pages 291-297
Mathematical Models of Aggregation: The Role of Explicit Solutions....Pages 299-307
Metastable Behavior of Premixed Gas Flames....Pages 309-318
Recent Progress on Boundary Blow-up....Pages 319-328
Maximum Principle for Bounded Solutions of the Telegraph Equation: The Case of High Dimensions....Pages 329-341
Kolmogorov Equations in Physics and in Finance....Pages 343-351
Harnack Inequalities and Gaussian Estimates for a Class of Hypoelliptic Operators....Pages 353-364
How to Construct Good Measures....Pages 365-374
Bifurcation and Asymptotics for Elliptic Problems with Singular Nonlinearity....Pages 375-388
A Model for Hysteresis in Mechanics Using Local Minimizers of Young Measures....Pages 389-401
Essential Spectrum and Noncontrollability of Membrane Shells....Pages 403-414
The Porous Medium Equation. New Contractivity Results....Pages 415-421
Large Solutions of Elliptic Equations with Strong Absorption....Pages 423-431
Relaxation in Presence of Pointwise Gradient Constraints....Pages 433-451
....Pages 453-464