Inverse Problems and Carleman Estimates: Global Uniqueness, Global Convergence and Experimental Data, Jingzhi Li, Michael V. Klibanov
Автор: Choulli Название: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems ISBN: 331933641X ISBN-13(EAN): 9783319336411 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a unifiedapproach to studying the stability of both elliptic Cauchy problems and selectedinverse problems. Based on elementary Carleman inequalities, it establishesthree-ball inequalities, which are the key to deriving logarithmic stabilityestimates for elliptic Cauchy problems and are also useful in proving stabilityestimates for certain elliptic inverse problems. The book presents three inverseproblems, the first of which consists in determining the surface impedance ofan obstacle from the far field pattern. The second problem investigates the detectionof corrosion by electric measurement, while the third concerns thedetermination of an attenuation coefficient from internal data, which ismotivated by a problem encountered in biomedical imaging.
Автор: Feruccio Colombini; Claude Zuily Название: Carleman Estimates and Applications to Uniqueness and Control Theory ISBN: 0817642307 ISBN-13(EAN): 9780817642303 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Consists of 14 research articles that are an outgrowth of a scientific meeting held in Cortona on the subject of Carleman Estimates and Control Theory. This volume includes topics such as unique continuation for elliptic PDEs and systems, control theory and inverse problems. It is suitable for researchers and graduate students of pdes.
Автор: Feruccio Colombini; Claude Zuily Название: Carleman Estimates and Applications to Uniqueness and Control Theory ISBN: 1461266602 ISBN-13(EAN): 9781461266600 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The articles in this volume reflect a subsequent development after a scientific meeting entitled Carleman Estimates and Control Theory, held in Cartona in September 1999. The 14 research-level articles, written by experts, focus on new results on Carleman estimates and their applications to uniqueness and controlla- bility of partial differential equations and systems. The main topics are unique continuation for elliptic PDEs and systems, con- trol theory and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail in several papers. In the area of control theory. the reader will find applications of Carleman estimates to stabiliza- tion, observability and exact control for the wave and the SchrOdinger equations. A final paper presents a challenging list of open problems on the topic of control- lability of linear and sernilinear heat equations. The papers contain exhaustive and essentially self-contained proofs directly ac- cessible to mathematicians, physicists, and graduate students with an elementary background in PDEs. Contributors are L. Aloui, M. Bellassoued, N. Burq, F. Colombini, B. Dehman, C. Grammatico, M. Khenissi, H. Koch, P. Le Borgne, N. Lerner, T. Nishitani. T. Okaji, K.D. Phung, R. Regbaoui, X. Saint Raymond, D. Tataru, and E. Zuazua.
Автор: Mourad Bellassoued; Masahiro Yamamoto Название: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems ISBN: 4431565981 ISBN-13(EAN): 9784431565987 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.
Автор: Mourad Bellassoued; Masahiro Yamamoto Название: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems ISBN: 4431568301 ISBN-13(EAN): 9784431568308 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Поставка под заказ. Описание: This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.
Автор: Klibanov Li Michael V. Jingzhi Название: Inverse Problems and Carleman Estimates ISBN: 3110745410 ISBN-13(EAN): 9783110745412 Издательство: Walter de Gruyter Рейтинг: Цена: 364010.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems.
Автор: P. Cannarsa, P. Martinez, J. Vancostenoble Название: Global Carleman Estimates for Degenerate Parabolic Operators with Applications ISBN: 1470414961 ISBN-13(EAN): 9781470414962 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 99790.00 T Наличие на складе: Невозможна поставка. Описание: Introduces the reader to global Carleman estimates for a class of parabolic operators which may degenerate at the boundary of the space domain, in the normal direction to the boundary. Such a kind of degeneracy is relevant to study the invariance of a domain with respect to a given stochastic diffusion flow, and appears naturally in climatology models.
Автор: Le Rousseau Jйrфme, LeBeau Gilles, Robbiano Luc Название: Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I: Dirichlet Boundary Conditions on Euclidean Space ISBN: 3030886735 ISBN-13(EAN): 9783030886738 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.
Автор: Le Rousseau Jйrфme, LeBeau Gilles, Robbiano Luc Название: Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II: General Boundary Conditions on Riemannian Manifolds ISBN: 3030886697 ISBN-13(EAN): 9783030886691 Издательство: Springer Рейтинг: Цена: 158380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation.
Автор: Fragnelli Genni, Mugnai Dimitri Название: Control of Degenerate and Singular Parabolic Equations: Carleman Estimates and Observability ISBN: 3030693481 ISBN-13(EAN): 9783030693480 Издательство: Springer Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book collects some basic results on the null controllability for degenerate and singular parabolic problems. For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.
Автор: Xiaoyu Fu; Qi L?; Xu Zhang Название: Carleman Estimates for Second Order Partial Differential Operators and Applications ISBN: 303029529X ISBN-13(EAN): 9783030295295 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interest to all researchers in the field.
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