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Sub-Laplacian Operators of Some Model Domains, Der-Chen Chang, Jingzhi Tie


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Автор: Der-Chen Chang, Jingzhi Tie
Название:  Sub-Laplacian Operators of Some Model Domains
ISBN: 9783110642100
Издательство: Walter de Gruyter
Классификация:


ISBN-10: 3110642107
Обложка/Формат: Hardback
Страницы: 266
Вес: 0.59 кг.
Дата издания: 01.08.2022
Серия: Advances in analysis and geometry
Язык: English
Иллюстрации: 7 illustrations, black and white; 7 illustrations, black and white
Размер: 234 x 156 x 14
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Geometry, MATHEMATICS / Calculus,MATHEMATICS / Geometry / Analytic,MATHEMATICS / Mathematical Analysis
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Поставляется из: Германии
Описание:

The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations.




Laplacian Growth on Branched Riemann Surfaces

Автор: Gustafsson Bjцrn, Lin Yu-Lin
Название: Laplacian Growth on Branched Riemann Surfaces
ISBN: 3030698629 ISBN-13(EAN): 9783030698621
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book studies solutions of the Polubarinova-Galin and Loewner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved.

The Fractional Laplacian

Автор: Chen Wenxiong, Li Yan, Ma Pei
Название: The Fractional Laplacian
ISBN: 9813223995 ISBN-13(EAN): 9789813223998
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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Описание: This is a unique book that provides comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of the fractional Laplacian, it gradually leads the readers to the frontier of the current research in this area. The explanations and illustrations are elementary enough so that the first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which the professionals would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, and direct blowing up and rescaling arguments and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that the readers can quickly grasp the essence.

Hypoelliptic Laplacian and Orbital Integrals

Автор: Bismut Jean-Michel
Название: Hypoelliptic Laplacian and Orbital Integrals
ISBN: 069115130X ISBN-13(EAN): 9780691151304
Издательство: Wiley
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Цена: 11880.00 р.
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Описание: The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula.

Classical and Stochastic Laplacian Growth

Автор: Bj?rn Gustafsson; Razvan Teodorescu; Alexander Vas
Название: Classical and Stochastic Laplacian Growth
ISBN: 3319082868 ISBN-13(EAN): 9783319082868
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics.

Hypoelliptic Laplacian and Bott–Chern Cohomology

Автор: Jean-Michel Bismut
Название: Hypoelliptic Laplacian and Bott–Chern Cohomology
ISBN: 3319033891 ISBN-13(EAN): 9783319033891
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott-Chern cohomology.

Classical and Stochastic Laplacian Growth

Автор: Bj?rn Gustafsson; Razvan Teodorescu; Alexander Vas
Название: Classical and Stochastic Laplacian Growth
ISBN: 331937639X ISBN-13(EAN): 9783319376394
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics.

Stratified Lie Groups and Potential Theory for Their Sub-Laplacians

Автор: Andrea Bonfiglioli; Ermanno Lanconelli; Francesco
Название: Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
ISBN: 3642090990 ISBN-13(EAN): 9783642090998
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields.

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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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Автор: Vladimir Maz`ya; Serguei Nazarov; Boris Plamenevsk
Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
ISBN: 3034895658 ISBN-13(EAN): 9783034895651
Издательство: Springer
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Цена: 20962.00 р.
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Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems.


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