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Parabolic Quasilinear Equations Minimizing Linear Growth Functionals

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 288/5 ( reviews)

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Book Synopsis Parabolic Quasilinear Equations Minimizing Linear Growth Functionals by : Fuensanta Andreu-Vaillo

Download or read book Parabolic Quasilinear Equations Minimizing Linear Growth Functionals written by Fuensanta Andreu-Vaillo. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematics Across Contemporary Sciences

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Release : 2017-01-22
Genre : Mathematics
Kind : eBook
Book Rating : 101/5 ( reviews)

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Book Synopsis Mathematics Across Contemporary Sciences by : Taher Abualrub

Download or read book Mathematics Across Contemporary Sciences written by Taher Abualrub. This book was released on 2017-01-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Evolution PDEs with Nonstandard Growth Conditions

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Release : 2015-04-01
Genre : Mathematics
Kind : eBook
Book Rating : 122/5 ( reviews)

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Book Synopsis Evolution PDEs with Nonstandard Growth Conditions by : Stanislav Antontsev

Download or read book Evolution PDEs with Nonstandard Growth Conditions written by Stanislav Antontsev. This book was released on 2015-04-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Variational and Diffusion Problems in Random Walk Spaces

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Release : 2023-08-04
Genre : Mathematics
Kind : eBook
Book Rating : 848/5 ( reviews)

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Book Synopsis Variational and Diffusion Problems in Random Walk Spaces by : José M. Mazón

Download or read book Variational and Diffusion Problems in Random Walk Spaces written by José M. Mazón. This book was released on 2023-08-04. Available in PDF, EPUB and Kindle. Book excerpt: 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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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 710/5 ( reviews)

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Book Synopsis Complex Convexity and Analytic Functionals by : Mats Andersson

Download or read book Complex Convexity and Analytic Functionals written by Mats Andersson. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This 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.

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