Nonlinear second order parabolic equations, Wang, Mingxin
Автор: Wang Mingxin Название: Nonlinear Second Order Parabolic Equations ISBN: 0367711982 ISBN-13(EAN): 9780367711986 Издательство: Taylor&Francis Рейтинг: Цена: 23734.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book covers theories and methods of parabolic equations. Everyday examples are provided, especially from the field of ecology, while exercises after every chapter, are included. Special care is taken to make the book suitable for classroom teaching as well as for self-study for graduate students.
Описание: This book aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators.
Автор: VIOREL BARBU Название: Controllability and Stabilization of Parabolic Equations ISBN: 3319766651 ISBN-13(EAN): 9783319766652 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems.
Автор: Viorel Barbu Название: Controllability and Stabilization of Parabolic Equations ISBN: 3030095509 ISBN-13(EAN): 9783030095505 Издательство: Springer Рейтинг: Цена: 12196.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems.
Автор: Ionu? Munteanu Название: Boundary Stabilization of Parabolic Equations ISBN: 3030110982 ISBN-13(EAN): 9783030110987 Издательство: Springer Рейтинг: Цена: 10366.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically conducted fluid flows; phase separation modeled by the Cahn-Hilliard equations; and deterministic or stochastic semi-linear heat equations arising in biology, chemistry, and population dynamics modeling.
The text provides answers to the following problems, which are of great practical importance:
Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target stateDesigning observers for the considered control systemsConstructing time-discrete controllers requiring only partial knowledge of the state
After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. He then demonstrates how this abstract model can be applied to stabilization problems involving magnetohydrodynamic equations, stochastic PDEs, nonsteady-states, and more.
Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.
Автор: Fernando Soria de Diego, Ireneo Peral Alonso Название: Elliptic and Parabolic Equations Involving the Hardy-Leray Potential ISBN: 3110603462 ISBN-13(EAN): 9783110603460 Издательство: Walter de Gruyter Рейтинг: Цена: 21747.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Editor-in-Chief Jurgen Appell, Wurzburg, Germany
Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA
Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel
Titles in planning include Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)
Описание: This book is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to nonlinear parabolic equations and nonlinear hyperbolic-parabolic coupled systems for both small and large initial data. It presents concepts and facts about Sobolev space.
Автор: Alexander A. Kovalevsky, Igor I. Skrypnik, Andrey E. Shishkov Название: Singular Solutions of Nonlinear Elliptic and Parabolic Equations ISBN: 3110315483 ISBN-13(EAN): 9783110315486 Издательство: Walter de Gruyter Цена: 33463.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations in divergence form. It looks at localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form.The book will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis.Contents:ForewordPart I: Nonlinear elliptic equations with L^1-dataNonlinear elliptic equations of the second order with L^1-dataNonlinear equations of the fourth order with strengthened coercivity and L^1-dataPart II: Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second orderRemovability of singularities of the solutions of quasilinear elliptic equationsRemovability of singularities of the solutions of quasilinear parabolic equationsQuasilinear elliptic equations with coefficients from the Kato classPart III: Boundary regimes with peaking for quasilinear parabolic equationsEnergy methods for the investigation of localized regimes with peaking for parabolic second-order equationsMethod of functional inequalities in peaking regimes for parabolic equations of higher ordersNonlocalized regimes with singular peakingAppendix: Formulations and proofs of the auxiliary resultsBibliography
Автор: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M. Название: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals ISBN: 3034896247 ISBN-13(EAN): 9783034896245 Издательство: Springer Рейтинг: Цена: 6097.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Описание: The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences. The aim of the series is to be an active forum for the dissemination of up-to-date information in the form of authoritative works that will serve the applied mathematics community as the basis for further research. Editorial Board Remi Abgrall, Universitat Zurich, Switzerland Jose Antonio Carrillo de la Plata, Imperial College London, UK Jean-Michel Coron, Universite Pierre et Marie Curie, Paris, France Athanassios S. Fokas, Cambridge University, UK Irene Fonseca, Carnegie Mellon University, Pittsburgh, USA
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