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


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Автор: Mourad Bellassoued; Masahiro Yamamoto
Название:  Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
ISBN: 9784431565987
Издательство: Springer
Классификация:






ISBN-10: 4431565981
Обложка/Формат: Hardcover
Страницы: 256
Вес: 0.56 кг.
Серия: Springer Monographs in Mathematics
Язык: English
Размер: 234 x 156 x 16
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

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: 6986.00 р.
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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.

Carleman Estimates and Applications to Uniqueness and Control Theory

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: 16769.00 р.
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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.

Carleman Estimates and Applications to Uniqueness and Control Theory

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: 13974.00 р.
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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.

Hyperbolic Problems: Theory, Numerics, Applications

Автор: Sylvie Benzoni-Gavage; Denis Serre
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3662501694 ISBN-13(EAN): 9783662501696
Издательство: Springer
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Цена: 16065.00 р.
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Описание: This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications.

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

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: 22359.00 р.
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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.

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

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: 16769.00 р.
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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.

Hyperbolic Problems: Theory, Numerics, Applications

Автор: Heinrich Freist?hler; Gerald Warnecke
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034895372 ISBN-13(EAN): 9783034895378
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Numerically oriented articles study finite difference, finite volume, and finite ele- ment schemes, adaptive, multiresolution, and artificial dissipation methods.

Hyperbolic Problems: Theory, Numerics, Applications

Автор: Heinrich Freist?hler; Gerald Warnecke
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034895380 ISBN-13(EAN): 9783034895385
Издательство: Springer
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Цена: 13974.00 р.
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Hyperbolic Problems: Theory, Numerics, Applications

Автор: Michael Fey; Rolf Jeltsch
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034897448 ISBN-13(EAN): 9783034897440
Издательство: Springer
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Цена: 20962.00 р.
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Описание: The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

Hyperbolic Problems: Theory, Numerics, Applications

Автор: Rolf Jeltsch; Michael Fey
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034897421 ISBN-13(EAN): 9783034897426
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The latter part of the 3rd millennium BC witnessed severe dislocations in the social, economic and political structures of the lands at the eastern end of the Mediterranean Sea - the Levant. This volume contains the papers given at a conference held in 2004 at the British Museum, presenting both new evidence and new theories bearing on this transitional period.

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Автор: Cl?ment Canc?s; Pascal Omnes
Название: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
ISBN: 3319573934 ISBN-13(EAN): 9783319573939
Издательство: Springer
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Цена: 23757.00 р.
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Описание:

This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.

The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.

The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.


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