Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems, Mourad Bellassoued; Masahiro Yamamoto

Автор: Randall J. LeVeque
Название: Finite Volume Methods for Hyperbolic Problems
ISBN: 0521009243 ISBN-13(EAN): 9780521009249
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Автор: J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde
Название: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
ISBN: 3319055909 ISBN-13(EAN): 9783319055909
Издательство: Springer
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Цена: 149060.00 T
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Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.

Автор: Mourad Bellassoued; Masahiro Yamamoto
Название: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
ISBN: 4431565981 ISBN-13(EAN): 9784431565987
Издательство: Springer
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Цена: 88500.00 T
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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: Choulli
Название: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
ISBN: 331933641X ISBN-13(EAN): 9783319336411
Издательство: Springer
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Цена: 46570.00 T
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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: 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
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Цена: 46570.00 T
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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.

Автор: Feruccio Colombini; Claude Zuily
Название: Carleman Estimates and Applications to Uniqueness and Control Theory
ISBN: 1461266602 ISBN-13(EAN): 9781461266600
Издательство: Springer
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Цена: 93160.00 T
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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: Feruccio Colombini; Claude Zuily
Название: Carleman Estimates and Applications to Uniqueness and Control Theory
ISBN: 0817642307 ISBN-13(EAN): 9780817642303
Издательство: Springer
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Цена: 111790.00 T
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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: 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)
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Цена: 99790.00 T
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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: Genni Fragnelli, Dimitri Mugnai
Название: Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations
ISBN: 1470419548 ISBN-13(EAN): 9781470419547
Издательство: Mare Nostrum (Eurospan)
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Цена: 72990.00 T
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Описание: The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.

Автор: Christian Klingenberg; Michael Westdickenberg
Название: Theory, Numerics and Applications of Hyperbolic Problems I
ISBN: 3030082725 ISBN-13(EAN): 9783030082727
Издательство: Springer
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Цена: 214280.00 T
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Описание: The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.

Автор: J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde
Название: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
ISBN: 3319382888 ISBN-13(EAN): 9783319382883
Издательство: Springer
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Цена: 111790.00 T
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Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.

Автор: Christian Klingenberg; Michael Westdickenberg
Название: Theory, Numerics and Applications of Hyperbolic Problems II
ISBN: 3030062511 ISBN-13(EAN): 9783030062514
Издательство: Springer
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Цена: 214280.00 T
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Описание: The second of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.