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

Publisher: 
Birkhäuser
Number of Pages: 
470
Price: 
179.00
ISBN: 
3-7643-7249-4
Date Received: 
Wednesday, October 5, 2005
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
Catherine Bandle, Henri Berestycki, Bernhard Brighi, Alain Brillard, Michel Chipot, Jean-Michel Coron, Carlo Sbordone, Itai Shafrir, Vanda Valente, and Giorgio Vergara Caffarelli, editors
Series: 
Progress in Nonlinear Differential Equations and Their Applications 63
Publication Date: 
2005
Format: 
Hardcover
Category: 
Festschrift

Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix

Andrew Acker

One-Layer Free Boundary Problems with Two Free Boundaries . . . . . . 1

Catherine Bandle and Simon Stingelin

New Numerical Solutions for the Brezis-Nirenberg

Problem on Sn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

H. Beir˜ao da Veiga

On some Boundary Value Problems for Incompressible

Viscous Flows with Shear Dependent Viscosity . . . . . . . . . . . . . . . . . . . . . . 23

A. Berm´udez, R. Leira, M.C. Mu˜niz and F. Pena

Radiative Heat Transfer in Silicon Purification . . . . . . . . . . . . . . . . . . . . . . 33

Said Berrimi and Salim A. Messaoudi

A Decay Result for a Quasilinear Parabolic System . . . . . . . . . . . . . . . . . 43

S.I. Betel´u, M.A. Fontelos and U. Kindel´an

The Shape of Charged Drops: Symmetry-breaking

Bifurcations and Numerical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

A. Blanchet, J. Dolbeault and R. Monneau

On the One-dimensional Parabolic Obstacle Problem

with Variable Coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59

Lucio Boccardo

Hardy Potentials and Quasi-linear Elliptic Problems

Having Natural Growth Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

Bernard Brighi and Jean-David Hoernel

Recent Advances on Similarity Solutions

Arising During Free Convection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83

R. Brossard, J.-P. Loh´eac and M. Moussaoui

Rellich Relations for Mixed Boundary Elliptic Problems . . . . . . . . . . . . . 93

A. Ca˜nada, J.A. Montero and S. Villegas

Lyapunov-type Inequalities and Applications to PDE . . . . . . . . . . . . . . . 103

vi Contents

A. Ca˜nada and D. Ruiz

Gaeta 2004. Elliptic Resonant Problems

with a Periodic Nonlinearity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

Raffaela Capitanelli

Harnack Inequality for p-Laplacians on Metric Fractals . . . . . . . . . . . . . . 119

Ana Carpio

Wave Propagation in Discrete Media . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127

Thierry Cazenave, Fl´avio Dickstein and Fred B. Weissler

A Solution of the Heat Equation with

a Continuum of Decay Rates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135

Claire Chainais-Hillairet and Yue-Jun Peng

Finite Volume Scheme for Semiconductor

Energy-transport Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139

Michel Chipot and Yitian Xie

Asymptotic Behavior of Nonlinear Parabolic Problems

with Periodic Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

Gabriel Peyr´e and Laurent Cohen

Geodesic Computations for Fast and Accurate

Surface Remeshing and Parameterization . . . . . . . . . . . . . . . . . . . . . . . . . . . 157

M. Comte

On the Newton Body Type Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173

Jean-Michel Coron

Some Open Problems on Water Tank Control Systems . . . . . . . . . . . . . . 179

Juan D´avila and Marcelo Montenegro

H¨older Estimates for Solutions to a Singular

Nonlinear Neumann Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189

U. De Maio and T.A. Mel’nyk

Asymptotic Analysis of the Neumann Problem for the

Ukawa Equation in a Thick Multi-structure of Type 3 : 2 : 2 . . . . . . . . . 207

J.I. D´ıaz

On the Ha¨ım Brezis Pioneering Contributions on the Location

of Free Boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217

J´erˆome Droniou

Fractal Conservation Laws: Global Smooth Solutions and

Vanishing Regularization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235

M. Escobedo

Stationary and Self-similar Solutions for Coagulation

and Fragmentation Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243

Contents vii

Alberto Fiorenza

Orlicz Capacities and Applications to PDEs

and Sobolev Mappings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259

Uta Renata Freiberg and Maria Rosaria Lancia

Energy Forms on Non Self-similar Fractals . . . . . . . . . . . . . . . . . . . . . . . . . . 267

Thierry Gallou¨et

Measure Data and Numerical Schemes for Elliptic Problems . . . . . . . . . 279

Yuxin Ge

Brezis-Nirenberg Problem and Coron Problem

for Polyharmonic Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291

Mohammed Guedda

Local and Global Properties of Solutions

of a Nonlinear Boundary Layer Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299

M.A. Herrero

Mathematical Models of Aggregation:

The Role of Explicit Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309

S. Kamin, H. Berestycki, L. Kagan and G. Sivashinsky

Metastable Behavior of Premixed Gas Flames . . . . . . . . . . . . . . . . . . . . . . . 319

Satyanad Kichenassamy

Recent Progress on Boundary Blow-up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329

Jean Mawhin

Maximum Principle for Bounded Solutions of the

Telegraph Equation: The Case of High Dimensions . . . . . . . . . . . . . . . . . . 343

Andrea Pascucci

Kolmogorov Equations in Physics and in Finance . . . . . . . . . . . . . . . . . . . 353

Sergio Polidoro

Harnack Inequalities and Gaussian Estimates for

a Class of Hypoelliptic Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365

Augusto C. Ponce

How to Construct Good Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375

Vicent¸iu R˘adulescu

Bifurcation and Asymptotics for Elliptic Problems

with Singular Nonlinearity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389

Marc Oliver Rieger

A Model for Hysteresis in Mechanics Using Local Minimizers

of Young Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403

Carlo Sbordone

The Precise Lp-theory of Elliptic Equations in the Plane . . . . . . . . . . . . 415

viii Contents

V. Valente

Essential Spectrum and Noncontrollability of Membrane Shells . . . . . . 423

J.L. V´azquez

The Porous Medium Equation. New Contractivity Results . . . . . . . . . . 433

Laurent V´eron

Large Solutions of Elliptic Equations with Strong Absorption . . . . . . . 453

Elvira Zappale

Relaxation in Presence of Pointwise Gradient Constraints . . . . . . . . . . . 465

Publish Book: 
Modify Date: 
Wednesday, October 5, 2005

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