Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
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Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
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Author : Fuensanta Andreu-Vaillo
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-26
Parabolic Quasilinear Equations Minimizing Linear Growth Functionals written by Fuensanta Andreu-Vaillo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-26 with Computers categories.
This book details the mathematical developments in total variation based image restauration. From the reviews: "This book is devoted to PDE's of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters....The book is written with great care, paying also a lot of attention to the bibliographical and historical notes."-- ZENTRALBLATT MATH
Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
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Author : Fuensanta Andreu-Vaillo
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Parabolic Quasilinear Equations Minimizing Linear Growth Functionals written by Fuensanta Andreu-Vaillo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2003. This book contains a detailed mathematical analysis of the variational approach to image restoration based on the minimization of the total variation submitted to the constraints given by the image acquisition model. This model, initially introduced by Rudin, Osher, and Fatemi, had a strong influence in the development of variational methods for image denoising and restoration, and pioneered the use of the BV model in image processing. After a full analysis of the model, the minimizing total variation flow is studied under different boundary conditions, and its main qualitative properties are exhibited. In particular, several explicit solutions of the denoising problem are computed.
Evolution Pdes With Nonstandard Growth Conditions
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Author : Stanislav Antontsev
language : en
Publisher: Springer
Release Date : 2015-04-01
Evolution Pdes With Nonstandard Growth Conditions written by Stanislav Antontsev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-01 with Mathematics categories.
This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth.
Mathematics Across Contemporary Sciences
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Author : Taher Abualrub
language : en
Publisher: Springer
Release Date : 2017-01-22
Mathematics Across Contemporary Sciences written by Taher Abualrub and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-22 with Mathematics categories.
This work presents invited contributions from the second "International Conference on Mathematics and Statistics" jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society). Addressing several research fields across the mathematical sciences, all of the papers were prepared by faculty members at universities in the Gulf region or prominent international researchers. The current volume is the first of its kind in the UAE and is intended to set new standards of excellence for collaboration and scholarship in the region.
Variational And Diffusion Problems In Random Walk Spaces
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Author : José M. Mazón
language : en
Publisher: Springer Nature
Release Date : 2023-08-04
Variational And Diffusion Problems In Random Walk Spaces written by José M. Mazón and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-04 with Mathematics categories.
This book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, specific gradient flows that are studied include the heat flow, the total variational flow, and evolution problems of Leray-Lions type with different types of boundary conditions. With many timely applications, this book will serve as an invaluable addition to the literature in this active area of research. Variational and Diffusion Problems in Random Walk Spaces will be of interest to researchers at the interface between analysis, geometry, and probability, as well as to graduate students interested in exploring these areas.
Complex Convexity And Analytic Functionals
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Author : Mats Andersson
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Complex Convexity And Analytic Functionals written by Mats Andersson and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their importance was first manifested in the pioneering work of André Martineau from about forty years ago. Since then a large number of new related results have been obtained by many different mathematicians. The present book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.
Singular Sets Of Minimizers For The Mumford Shah Functional
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Author : Guy David
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-10
Singular Sets Of Minimizers For The Mumford Shah Functional written by Guy David and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-10 with Mathematics categories.
The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. It is largely self-contained, and should be accessible to graduate students in analysis. The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.
Perturbation Methods And Semilinear Elliptic Problems On R N
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Author : Antonio Ambrosetti
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-18
Perturbation Methods And Semilinear Elliptic Problems On R N written by Antonio Ambrosetti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-18 with Mathematics categories.
Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed. n On the other hand, there are several elliptic problems on R which are p- turbative in nature. In some cases there is a natural perturbation parameter, like inthe bifurcationfromthe essentialspectrum orinsingularlyperturbed equations or in the study of semiclassical standing waves for NLS. In some other circ- stances, one studies perturbations either because this is the ?rst step to obtain global results or else because it often provides a correct perspective for further global studies. For these perturbation problems a speci?c approach,that takes advantage of such a perturbative setting, seems the most appropriate. These abstract tools are provided by perturbation methods in critical point theory. Actually, it turns out that such a framework can be used to handle a large variety of equations, usually considered di?erent in nature. Theaimofthismonographistodiscusstheseabstractmethodstogetherwith their applications to several perturbation problems, whose common feature is to n involve semilinear Elliptic Partial Di?erential Equations on R with a variational structure.
Landform Structure Evolution Process Control
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Author : Jan-Christoph Otto
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-03
Landform Structure Evolution Process Control written by Jan-Christoph Otto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-03 with Science categories.
This book offers a broad interdisciplinary overview of state-of-the-art research on landform related issues. It presents a selection of papers given at the International Symposium on "Landform – structure, evolution process control", Bonn, June 2007.
Shape Reconstruction From Apparent Contours
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Author : Giovanni Bellettini
language : en
Publisher: Springer
Release Date : 2015-02-25
Shape Reconstruction From Apparent Contours written by Giovanni Bellettini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-25 with Mathematics categories.
Motivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the topological and algorithmic reconstruction of a smooth three dimensional scene starting from the visible part of an apparent contour. The authors focus their attention on the manipulation of apparent contours using a finite set of elementary moves, which correspond to diffeomorphic deformations of three dimensional scenes. A large part of the book is devoted to the algorithmic part, with implementations, experiments, and computed examples. The book is intended also as a user's guide to the software code appcontour, written for the manipulation of apparent contours and their invariants. This book is addressed to theoretical and applied scientists working in the field of mathematical models of image segmentation.