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Partial Differential Equations and the Calculus of Variations: Essays in Honor of Ennio De Giorgi Volume 2: Progress in Nonlinear Differential Equations and Their Applications, cartea 1

Autor COLOMBINI, Marino, MODICA, SPAGNOLA
en Limba Engleză Paperback – 14 apr 2013
The Italian school of Mathematical Analysis has long and glo­ rious traditions. In the last thirty years it owes very much to the scientific pre-eminence of Ennio De Giorgi, Professor of Mathemati­ cal Analysis at the Scuola Normale Superiore di Pisa. His fundamental theorems in Calculus of Variations, in Minimal Surfaces Theory, in Partial Differential Equations, in Axiomatic Set Theory as well as the fertility of his mind to discover both general mathematical structures and techniques which frame many different problems, and profound and meaningful examples which show the limits of a theory and give origin to new results and theories, makes him an absolute reference point for all Italian mathematicians, and a well-known and valued personage in the international mathematical world. We have been students of Ennio de Giorgi. Now, we are glad to present to him, together with all his collegues, friends and former students, these Essays of Mathematical Analysis written in his hon­ our on the occasion of his sixtieth birthday (February 8th, 1988), with our best wishes and our thanks for all he gave in the past and will give us in the future. We have added to the research papers of this book the text of a conversation with Ennio De Giorgi about the diffusion and the communication of science and, in particular, of Mathematics.
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Specificații

ISBN-13: 9781461598336
ISBN-10: 1461598338
Pagini: 512
Ilustrații: X, 1019 p.
Dimensiuni: 152 x 229 x 27 mm
Greutate: 0.68 kg
Ediția:Softcover reprint of the original 1st ed. 1989
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Progress in Nonlinear Differential Equations and Their Applications

Locul publicării:Boston, MA, United States

Public țintă

Research

Cuprins

On a Class of Nonlinear Diagonal Elliptic Systems with Critical Growth and C?-Regularity.- Higher Integrability from Reverse Jensen Inequalities with Different Supports.- Partial Regularity of Cartesian Currents which Minimize Certain Variational Integrals.- Theoreme des Minimax Locaux et Fonctions Topologiquement Fermees.- Variational Principles with Linear Growth.- Estimation de L’erreur Dans des Problemes de Dirichlet ou Apparait un Terme Etrange.- On Atypical Variational Problems.- Sur la Controlabilite Exacte Elargie.- Low and High Frequency Vibration in Stiff Problems.- A Time-Discretization Scheme Approximating the Non-Linear Evolution Equation u t + ABu = 0.- The Stored-Energy for Some Discontinuous Deformations in Nonlinear Elasticity.- The Calculus of Variations and Some Semilinear Variational Inequalities of Elliptic and Parabolic Type.- Some Remarks on the Dependence Domain for Weakly Hyperbolic Equations with Constant Multiplicity.- Monotonicity of the Energy for EntireSolutions of Semilinear Elliptic Equations.- Pseudo-Differential Operators of Volterra Type on Spaces of Ultra Distributions and Parabolic Mixed Problems.- The Neumann Problem for Second Order Elliptic Equations with Rapidly Oscillating Periodic Coefficients in a Perforated Domain.- Discrete Exterior Measures and Their Meaning in Applications.- An Embedding Theorem.- Nonlocal Effects Induced by Homogenization.- On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations.- Etude D’un Système en Multiplicité 4, Lorsque le Degrée du Polynôme Minimal Est Petit.- On the Weierstrass Integrals of the Calculus of Variations over BV Varieties: Recent Results of the Mathematical Seminar in Perugia.- Variable Structure Control of Semilinear Evolution Equations.