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Functional Calculus of Pseudodifferential Boundary Problems, Gerd Grubb


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Автор: Gerd Grubb
Название:  Functional Calculus of Pseudodifferential Boundary Problems
ISBN: 9781461268956
Издательство: Springer
Классификация: ISBN-10: 1461268958
Обложка/Формат: Paperback
Страницы: 526
Вес: 0.75 кг.
Дата издания: 06.02.2013
Серия: Progress in Mathematics
Язык: English
Размер: 234 x 156 x 28
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Pseudodifferential methods are central to the study of partial differential equations, because they permit an algebraization. A replacement of compositions of operators in n-space by simpler product rules for thier symbols. The main purpose of this book is to set up an operational calculus for operators defined from differential and pseudodifferential boundary values problems via a resolvent construction. A secondary purposed is to give a complete treatment of the properties of the calculus of pseudodifferential boundary problems with transmission, both the first version by Boutet de Monvel (brought completely up to date in this edition) and in version containing a parameter running in an unbounded set. And finally, the book presents some applications to evolution problems, index theory, fractional powers, spectral theory and singular perturbation theory.

In this second edition the author has extended the scope and applicability of the calculus wit original contributions and perspectives developed in the years since the first edition. A main improvement is the inclusion of globally estimated symbols, allowing a treatment of operators on noncompact manifolds. Many proofs have been replaced by new and simpler arguments, giving better results and clearer insights. The applications to specific problems have been adapted to use these improved and more concrete techniques. Interest continues to increase among geometers and operator theory specialists in the Boutet de Movel calculus and its various generalizations. Thus the books improved proofs and modern points of view will be useful to research mathematicians and to graduate students studying partial differential equations and pseudodifferential operators.




Algebras of Pseudodifferential Operators

Автор: B.A. Plamenevskii
Название: Algebras of Pseudodifferential Operators
ISBN: 9401075646 ISBN-13(EAN): 9789401075640
Издательство: Springer
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Цена: 13275.00 р.
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Periodic Integral and Pseudodifferential Equations with Numerical Approximation

Автор: Jukka Saranen; Gennadi Vainikko
Название: Periodic Integral and Pseudodifferential Equations with Numerical Approximation
ISBN: 364207538X ISBN-13(EAN): 9783642075384
Издательство: Springer
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Цена: 23058.00 р.
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Описание: An attractive book on the intersection of analysis and numerical analysis, deriving classical boundary integral equations arising from the potential theory and acoustics. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.

Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains

Автор: Harold Widom
Название: Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains
ISBN: 3540157018 ISBN-13(EAN): 9783540157014
Издательство: Springer
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Цена: 3492.00 р.
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Singular Ordinary Differential Operators and Pseudodifferential Equations

Автор: Johannes Elschner
Название: Singular Ordinary Differential Operators and Pseudodifferential Equations
ISBN: 354015194X ISBN-13(EAN): 9783540151944
Издательство: Springer
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Цена: 4884.00 р.
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Algebras of Pseudodifferential Operators

Автор: B.A. Plamenevskii
Название: Algebras of Pseudodifferential Operators
ISBN: 0792302311 ISBN-13(EAN): 9780792302315
Издательство: Springer
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Цена: 13275.00 р.
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Описание: One service mathematics has rendered the 'Et moi, ..., si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point alle.' where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- sense'. The series is divergent; therefore we may be Eric 1'. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Introduction to Pseudodifferential and Fourier Integral Operators Volume 2

Автор: Jean-Fran?ois Treves
Название: Introduction to Pseudodifferential and Fourier Integral Operators Volume 2
ISBN: 0306404044 ISBN-13(EAN): 9780306404047
Издательство: Springer
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Цена: 27944.00 р.
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Pseudodifferential Operators with Automorphic Symbols

Автор: Andr? Unterberger
Название: Pseudodifferential Operators with Automorphic Symbols
ISBN: 3319186566 ISBN-13(EAN): 9783319186566
Издательство: Springer
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Цена: 9083.00 р.
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Описание: The main results of this book combine pseudo differential analysis with modular form theory. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type.

Pseudodifferential Equations Over Non-Archimedean Spaces

Автор: W. A. Z??iga-Galindo
Название: Pseudodifferential Equations Over Non-Archimedean Spaces
ISBN: 3319467379 ISBN-13(EAN): 9783319467375
Издательство: Springer
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Цена: 4890.00 р.
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Описание: Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems.

Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability. (MN-37):

Автор: Geller Daryl
Название: Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability. (MN-37):
ISBN: 0691608296 ISBN-13(EAN): 9780691608297
Издательство: Wiley
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Цена: 10454.00 р.
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Описание:

Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most decisive if one is able to work in the real analytic, as opposed to the smooth, setting. With this motivation, the author develops an analytic calculus for the Heisenberg group. Features include: simple, explicit formulae for products and adjoints; simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus; invariance under analytic contact transformations; regularity with respect to non-isotropic Sobolev and Lipschitz spaces; and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator.

Originally published in 1990.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Alternative Pseudodifferential Analysis

Автор: Andr? Unterberger
Название: Alternative Pseudodifferential Analysis
ISBN: 3540779108 ISBN-13(EAN): 9783540779100
Издательство: Springer
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Цена: 4890.00 р.
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