Variational Analysis and Applications (eBook)

Franco Giannessi, Antonino Maugeri (Herausgeber)

eBook Download: PDF

2007 | 2005
XII, 1184 Seiten
Springer US (Verlag)
978-0-387-24276-7 (ISBN)

Infos

This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics 'G.Stampacchia' of the 'E.Majorana' Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.

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This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "e;G.Stampacchia"e; of the "e;E.Majorana"e; Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.

Inhalt

Contents 6
Preface 12
PART 1 14
THE WORK OF G. STAMPACCHIA IN VARIATIONAL INEQUALITIES' 15
IN MEMORY OF GUIDO STAMPACCHIA 43
THE COLLABORATION BETWEEN GUIDO STAMPACCHIA AND JACQUES- LOUIS LIONS ON VARIATIONAL INEQUALITIES 45
IN MEMORY OF GUIDO STAMPACCHIA 51
GUIDO STAMPACCHIA 59
MEMORIES OF GUIDO STAMPACCHIA 90
IN MEMORY OF GUIDO STAMPACCHIA 92
GUIDO STAMPACCHIA, MY FATHER 94
PART 2 98
CONVERGENCE AND STABILITY OF A REGULARIZATION METHOD FOR MAXIMAL MONOTONE INCLUSIONS AND ITS APPLICATIONS TO CONVEX OPTIMIZATION 99
PARTITIONABLE MIXED VARIATIONAL INEQUALITIES 143
IRREDUCIBILITY OF THE TRANSITION SEMIGROUP ASSOCIATED WITH THE TWO PHASE STEFAN PROBLEM 157
ON SOME BOUNDARY VALUE PROBLEMS FOR FLOWS WITH SHEAR DEPENDENT VISCOSITY 170
HOMOGENIZATION OF SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS 182
ABOUT THE DUALITY GAP IN VECTOR OPTIMIZATION 203
SEPARATION OF CONVEX CONES AND EXTREMAL PROBLEMS 213
INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM VIA A VARIATIONAL PRINCIPLE OF RICCERI 222
A DENSITY RESULT ON THE SPACE VMO 237
LINEAR COMPLEMENTARITY SINCE 1978 244
VARIATIONAL INEQUALITIES IN VECTOR OPTIMIZATION 263
Variational Inequalities and Evolutionary Financial Equilibrium 291
VARIATIONAL CONTROL PROBLEMS WITH CONSTRAINTS VIA EXACT PENALIZATION 304
CONTINUOUS SETS AND NON- ATTAINING FUCTIONALS IN REFLEXIVE BANACH SPACES 346
EXISTENCE AND MULTIPLICITY RESULTS FOR A NON LINEAR HAMMERSTEIN INTEGRAL EQUATION 361
DIFFERENTIABILITY OF WEAK SOLUTIONS OF NONLINEAR SECOND ORDER PARABOLIC SYSTEMS WITH QUADRATIC GROWTH AND NON LINEARITY q > _ 2
AN OPTIMIZATION PROBLEM WITH AN EQUILIBRIUM CONSTRAINT IN URBAN TRANSPORT 394
SHARP ESTIMATES FOR GREEN'S FUNCTIONS: SINGULAR CASES 409
FIRST-ORDER CONDITIONS FOR C °'l CONSTRAINED VECTOR OPTIMIZATION 427
GLOBAL REGULARITY FOR SOLUTIONS TO DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS WITH NONLINEARITY q _> 2 AND WITH NATURAL GROWTH
OPTIMALITY CONDITIONS FOR GENERALIZED COMPLEMENTARITY PROBLEMS 464
VARIATIONAL INEQUALITIES FOR TIME DEPENDENT FINANCIAL EQUILIBRIUM WITH PRICE CONSTRAINTS 475
REMARKS ABOUT DIFFUSION MEDIATED TRANSPORT: THINKING ABOUT MOTION IN SMALL SYSTEMS 495
AUGMENTED LAGRANGIAN AND NONLINEAR SEMIDEFINITE PROGRAMS 510
OPTIMALITY ALTERNATIVE: A NON VARIATIONALAPPROACH TO NECESSARY CONDITIONS 527
A VARIATIONAL INEQUALITY SCHEME FOR DETERMINING AN ECONOMIC EQUILIBRIUM OF CLASSICAL OR EXTENDED TYPE 549
ON TIME DEPENDENT VECTOR EQUILIBRIUM PROBLEMS 574
ON SOME NONSTANDARD DYNAMIC PROGRAMMING PROBLEMS OF CONTROL THEORY 583
PROPERTIES OF GAP FUNCTION FOR VECTOR VARIATIONAL INEQUALITY 598
ZERO GRAVITY CAPILLARY SURFACES AND INTEGRAL ESTIMATES 625
ASYMPTOTICALLY CRITICAL POINTS AND MULTIPLE SOLUTIONS IN THE ELASTIC BOUNCE PROBLEM 642
A BRANCH-AND-CUT TO THE POINT-TO POINTCONNECTION PROBLEM ON MULTICAST NETWORKS' 655
VARIATIONAL INEQUALITY AND EVOLUTIONARY MARKET DISEQUILIBRIA: THE CASE OF QUANTITY FORMULATION 671
NUMERICAL APPROXIMATION OF FREE BOUNDARY PROBLEM BY VARIATIONAL INEQUALITIES. APPLICATION TO SEMICONDUCTOR DEVICES 687
SENSITIVITY ANALYSIS FOR VARIATIONAL SYSTEMS 713
STABLE CRITICAL POINTS FOR THE GINZBURG LANDAU FUNCTIONAL ON SOME PLANE DOMAINS 734
THE DISTANCE FUNCTION TO THE BOUNDARY AND SINGULAR SET OF VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATION 754
L P -REGULARITY FOR POINCARE PROBLEM AND APPLICATIONS 762
MINIMAL FRACTIONS OF COMPACT CONVEX SETS 779
ON GENERALIZED VARIATIONAL INEQUALITIES 800
BOUNDED ( HAUSDORFF) CONVERGENCE: BASIC FACTS AND APPLICATIONS 814
CONTROL PROCESSES WITH DISTRIBUTED PARAMETERS IN UNBOUNDED SETS. APPROXIMATE CONTROLLABILITY WITH VARIABLE INITIAL LOCUS 842
WELL POSEDNESS AND OPTIMIZATION PROBLEMS 875
SEMISMOOTH NEWTON METHODS FOR SHAPE- PRESERVING INTERPOLATION, OPTION PRICE AND SEMI- INFINITE PROGRAMS 891
HÖLDER REGULARITY RESULTS FOR SOLUTIONS OF PARABOLIC EQUATIONS 906
SURVEY ON THE FENCHEL PROBLEM OF LEVEL SETS 920
INTEGRAL FUNCTIONALS ON SOBOLEV SPACES HAVING MULTIPLE LOCAL MINIMA 937
ASPECTS OF THE PROJECTOR ON PROX REGULAR SETS 946
APPLICATION OF OPTIMAL CONTROL THEORY TO DYNAMIC SOARING OF SEABIRDS 957
ON THE CONVERGENCE OF THE MATRICES ASSOCIATED TO THE ADJUGATE JACOBIANS 977
QUASI-VARIATONAL INEQUALITIES APPLIED TO RETARDED EQUILIBRIA IN TIME DEPENDENTTRAFFIC PROBLEMS 989
HIGHER ORDER APPROXIMATION EQUATIONS FOR THE PRIMITIVE EQUATIONS OF THE OCEAN 1006
HAHN- BANACH THEOREMS AND MAXIMAL MONOTONICITY 1030
CONCRETE PROBLEMS AND THE GENERAL THEORY OF EXTREMUM 1065
NUMERICAL SOLUTION FOR PSEUDOMONOTONE VARIATIONAL INEQUALITY PROBLEMS BY EXTRAGRADIENT METHODS 1081
REGULARITY AND EXISTENCE RESULTS FOR DEGENERATE ELLIPTIC OPERATORS 1109
VECTOR VARIATIONAL INEQUALITIES AND DYNAMIC TRAFFIC EQUILIBRIA 1121
A NEW PROOF OF THE MAXIMAL MONOTONICITY OF THE SUM USING THE FITZPATRICK FUNCTION 1138
CONTRIBUTORS 1152

Produkt-Details

• Erscheint lt. Verlag: 6.3.2007
• Reihe/Serie: Nonconvex Optimization and Its Applications
• Reihe/Serie: Nonconvex Optimization and Its Applications
• Zusatzinfo: XII, 1184 p. 40 illus.
• Verlagsort: New York
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
• Themenwelt: Technik
• Schlagworte: Analysis • Boundary value problem • Calculus of Variations • linear optimization • Optimization • Ordinary differential equations • Sobolev Space • Vector Optimization
• ISBN-10: 0-387-24276-7 / 0387242767
• ISBN-13: 978-0-387-24276-7 / 9780387242767