Il principio di minimo e sue applicazioni alle equazioni funzionali PDF Download

Author: S. Faedo
Publisher: Springer Science & Business Media
ISBN: 3642109268
Category : Mathematics
Languages : en
Pages : 165

View

Book Description
L. Nirenberg: On ellliptic partial differential equations.- S. Agmon: The Lp approach to the Dirichlet problems.- C.B. Morrey, Jr.: Multiple integral problems in the calculus of variations and related topics.- L. Bers: Uniformizzazione e moduli.

Author: Centro internazionale matematico estivo
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 178

View

Book Description

Author: Centro internazionale matematico estivo
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 176

View

Book Description

Author: Immanuel M. Bomze
Publisher: Springer
ISBN: 3642113397
Category : Mathematics
Languages : en
Pages : 301

View

Book Description
This volume collects the expanded notes of four series of lectures given on the occasion of the CIME course on Nonlinear Optimization held in Cetraro, Italy, from July 1 to 7, 2007. The Nonlinear Optimization problem of main concern here is the problem n of determining a vector of decision variables x ? R that minimizes (ma- n mizes) an objective function f(·): R ? R,when x is restricted to belong n to some feasible setF? R , usually described by a set of equality and - n n m equality constraints: F = {x ? R : h(x)=0,h(·): R ? R ; g(x) ? 0, n p g(·): R ? R }; of course it is intended that at least one of the functions f,h,g is nonlinear. Although the problem canbe stated in verysimpleterms, its solution may result very di?cult due to the analytical properties of the functions involved and/or to the number n,m,p of variables and constraints. On the other hand, the problem has been recognized to be of main relevance in engineering, economics, and other applied sciences, so that a great lot of e?ort has been devoted to develop methods and algorithms able to solve the problem even in its more di?cult and large instances. The lectures have been given by eminent scholars, who contributed to a great extent to the development of Nonlinear Optimization theory, methods and algorithms. Namely, they are: – Professor Immanuel M.

Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 9783540401926
Category : Mathematics
Languages : en
Pages : 184

View

Book Description
Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.

Author: M.S. Espedal
Publisher: Springer
ISBN: 3540446567
Category : Science
Languages : en
Pages : 225

View

Book Description
This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.

Author: Luigi Ambrosio
Publisher: Springer
ISBN: 3540391894
Category : Mathematics
Languages : en
Pages : 249

View

Book Description
Interfaces are geometrical objects modelling free or moving boundaries and arise in a wide range of phase change problems in physical and biological sciences, particularly in material technology and in dynamics of patterns. Especially in the end of last century, the study of evolving interfaces in a number of applied fields becomes increasingly important, so that the possibility of describing their dynamics through suitable mathematical models became one of the most challenging and interdisciplinary problems in applied mathematics. The 2000 Madeira school reported on mathematical advances in some theoretical, modelling and numerical issues concerned with dynamics of interfaces and free boundaries. Specifically, the five courses dealt with an assessment of recent results on the optimal transportation problem, the numerical approximation of moving fronts evolving by mean curvature, the dynamics of patterns and interfaces in some reaction-diffusion systems with chemical-biological applications, evolutionary free boundary problems of parabolic type or for Navier-Stokes equations, and a variational approach to evolution problems for the Ginzburg-Landau functional.

Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 3540759131
Category : Mathematics
Languages : en
Pages : 213

View

Book Description
With a historical overview by Elvira Mascolo

Author: B. Kawohl
Publisher: Springer
ISBN: 3540444866
Category : Mathematics
Languages : en
Pages : 397

View

Book Description
Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.

Author: Ivan Cherednik
Publisher: Springer
ISBN: 3540362053
Category : Mathematics
Languages : en
Pages : 117

View

Book Description
Two basic problems of representation theory are to classify irreducible representations and decompose representations occuring naturally in some other context. Algebras of Iwahori-Hecke type are one of the tools and were, probably, first considered in the context of representation theory of finite groups of Lie type. This volume consists of notes of the courses on Iwahori-Hecke algebras and their representation theory, given during the CIME summer school which took place in 1999 in Martina Franca, Italy.