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Elliptic Differential Equations And Obstacle Problems

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Elliptic Differential Equations and Obstacle Problems

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Elliptic Differential Equations and Obstacle Problems by Giovanni Maria Troianiello Book Summary:

In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an "institutional" development of the theory of differential equations (with appreciable feedback as will be shown). This book was written in the light of these considerations both in regard to the choice of topics and to their treatment. In short, roughly speaking my intention was to write a book on second-order elliptic operators, with the first half of the book, as might be expected, dedicated to function spaces and to linear theory whereas the second, nonlinear half would deal with variational inequalities and non variational obstacle problems, rather than, for example, with quasilinear or fully nonlinear equations (with a few exceptions to which I shall return later). This approach has led me to omit any mention of "physical" motivations in the wide sense of the term, in spite of their historical and continuing importance in the development of variational inequalities. I here addressed myself to a potential reader more or less aware of the significant role of variational inequalities in numerous fields of applied mathematics who could use an analytic presentation of the fundamental theory, which would be as general and self-contained as possible.

Analysis and Topology in Nonlinear Differential Equations

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Analysis and Topology in Nonlinear Differential Equations by Djairo G de Figueiredo,João Marcos do Ó,Carlos Tomei Book Summary:

This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.

Asymptotic Issues for Some Partial Differential Equations

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Asymptotic Issues for Some Partial Differential Equations by Michel Marie Chipot Book Summary:

Much progress has been made in recent years on the issue of asymptotic behavior of problems set in cylinders. This book goes one step further by presenting the latest accomplishments on asymptotic behavior in domains which become unbounded. It also investigates new issues which have emerged including existence and uniqueness of solution in unbounded domains, anisotropic singular perturbations, periodic behavior forced by periodic data. These new advances are treated with original techniques developed to investigate the asymptotic behavior of various problems. Theories investigated throughout the book can be applied to other problems related to partial differential equations, making it an important text for students and researchers within the discipline. Asymptotic Issues for Some Partial Differential Equations is an updated account of ℓ Goes to Plus Infinity, published by Birkhäuser in 2002. Contents:IntroductionThe Dirichlet Problem in Some Unbounded DomainsThe Pure Neumann ProblemPeriodic ProblemsAnisotropic Singular Perturbation ProblemsEigenvalue ProblemsElliptic SystemsThe Stokes ProblemVariational InequalitiesCalculus of Variations Readership: The book can be used as an academic resource for graduate students and researchers in applied mathematics and engineering.

Free Boundary Problems

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Free Boundary Problems by Isabel Narra Figueiredo,Lisa Santos Book Summary:

This book collects refereed lectures and communications presented at the Free Boundary Problems Conference (FBP2005). These discuss the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, biology and finance. Among other topics, the talks considered free boundary problems in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in image processing, in financial mathematics or in computations for inter-scale problems.

SIAM Journal on Control and Optimization

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SIAM Journal on Control and Optimization by Society for Industrial and Applied Mathematics Book Summary:

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Advances in Differential Equations

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Advances in Differential Equations by N.A Book Summary:

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Differential Equations and Applications

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Differential Equations and Applications by P. W. Bates Book Summary:

Over 120 mathematicians participated in the 1996 conference in Hangzhou on differential equations and applications. This volume contains articles from the conference, along with an exhaustive list of the conference speakers and their presentations.

Journal of Partial Differential Equations

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Journal of Partial Differential Equations by N.A Book Summary:

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Multivariate Approximation and Interpolation

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Multivariate Approximation and Interpolation by Werner Haussmann,K. Jetter Book Summary:

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Notices of the American Mathematical Society

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Notices of the American Mathematical Society by American Mathematical Society Book Summary:

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Annals of Differential Equations

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Annals of Differential Equations by N.A Book Summary:

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Discrete and Continuous Dynamical Systems

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Discrete and Continuous Dynamical Systems by N.A Book Summary:

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Subject Guide to Books in Print

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Subject Guide to Books in Print by N.A Book Summary:

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Proceedings

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Proceedings by N.A Book Summary:

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Bulletin (new Series) of the American Mathematical Society

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Bulletin (new Series) of the American Mathematical Society by N.A Book Summary:

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Differential and Integral Equations

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Differential and Integral Equations by N.A Book Summary:

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Mathematical Reviews

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Mathematical Reviews by N.A Book Summary:

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RAIRO.

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RAIRO. by N.A Book Summary:

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From Convexity to Nonconvexity

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From Convexity to Nonconvexity by R.P. Gilbert,Panagiotis D. Panagiotopoulos,Panos M. Pardalos Book Summary:

The book contains a collection of invited papers dedicated to the memory of two great mathematicians, Gaetano Fichera and Panagis Panagiotopoulos. The theme of the collection is centered around the seminal research of G. Fichera on the Signorini problem, hemivariational inequalities (pioneered by Panagiotopoulos), nonsmooth global optimization, and regularity results for variational inequatities. Audience: The book is addressed to faculty, graduate students, and researchers in mathematical programming and engineering.

Pacific Journal of Mathematics

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Pacific Journal of Mathematics by N.A Book Summary:

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Advances in Mathematical Sciences and Applications

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Advances in Mathematical Sciences and Applications by N.A Book Summary:

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Green Functions for Second Order Parabolic Integro-Differential Problems

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Green Functions for Second Order Parabolic Integro-Differential Problems by Garroni,Maria Giovanna Garroni,Jose Luis Menaldi Book Summary:

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The ANZIAM Journal

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The ANZIAM Journal by N.A Book Summary:

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Publications du Laboratoire Jacques-Louis Lions

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Publications du Laboratoire Jacques-Louis Lions by N.A Book Summary:

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JMSJ

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JMSJ by Nihon Sūgakkai Book Summary:

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Série, Recherches Sur Les Déformations

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Série, Recherches Sur Les Déformations by N.A Book Summary:

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Rendiconti

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Rendiconti by Università degli studi di Trieste. Istituto di matematica Book Summary:

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Russian Mathematical Surveys

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Russian Mathematical Surveys by N.A Book Summary:

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Bericht

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Bericht by Jyväskylän yliopisto. Matematiikan laitos Book Summary:

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CMUC

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CMUC by N.A Book Summary:

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Hiroshima Mathematical Journal

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Hiroshima Mathematical Journal by N.A Book Summary:

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Convex Optimization in Normed Spaces

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Convex Optimization in Normed Spaces by Juan Peypouquet Book Summary:

This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary to conduct independent research on the topic. It is also a concise, easy-to-follow and self-contained textbook, which may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. It will contain a thorough revision of the extant literature including both classical and state-of-the-art references.

Quasi-hydrodynamic Semiconductor Equations

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Quasi-hydrodynamic Semiconductor Equations by Ansgar Jüngel Book Summary:

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Obstacle Problems in Mathematical Physics

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Obstacle Problems in Mathematical Physics by J.-F. Rodrigues Book Summary:

The aim of this research monograph is to present a general account of the applicability of elliptic variational inequalities to the important class of free boundary problems of obstacle type from a unifying point of view of classical Mathematical Physics. The first part of the volume introduces some obstacle type problems which can be reduced to variational inequalities. Part II presents some of the main aspects of the theory of elliptic variational inequalities, from the abstract hilbertian framework to the smoothness of the variational solution, discussing in general the properties of the free boundary and including some results on the obstacle Plateau problem. The last part examines the application to free boundary problems, namely the lubrication-cavitation problem, the elastoplastic problem, the Signorini (or the boundary obstacle) problem, the dam problem, the continuous casting problem, the electrochemical machining problem and the problem of the flow with wake in a channel past a profile.

Finite Element Approximation for Optimal Shape Design

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Finite Element Approximation for Optimal Shape Design by J. Haslinger,Pekka Neittaanmäki Book Summary:

A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.

Journal of Nonlinear and Convex Analysis

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Journal of Nonlinear and Convex Analysis by N.A Book Summary:

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Extracta Mathematicae

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Extracta Mathematicae by N.A Book Summary:

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Society for Industrial and Applied Mathematics Journal on Numerical Analysis

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Society for Industrial and Applied Mathematics Journal on Numerical Analysis by Society for Industrial and Applied Mathematics Book Summary:

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SIAM Journal on Scientific Computing

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SIAM Journal on Scientific Computing by N.A Book Summary:

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