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The Lin-Ni`s Problem for Mean Convex Domains, Olivier Druet, Frederic Robert, Juncheng Wei


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Автор: Olivier Druet, Frederic Robert, Juncheng Wei
Название:  The Lin-Ni`s Problem for Mean Convex Domains
ISBN: 9780821869093
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 0821869094
Обложка/Формат: Paperback
Страницы: 105
Вес: 0.00 кг.
Дата издания: 30.06.2012
Серия: Memoirs of the american mathematical society
Язык: English
Иллюстрации: Illustrations
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis
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Поставляется из: Англии
Описание: The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$ being a smooth bounded domain of $\mathbb{R}^n$, $n\geq 3$. In particular, they show that concentration can occur only on boundary points with nonpositive mean curvature when $n=3$ or $n\geq 7$.

Lectures on Modern Convex Optimization

Автор: Ben-Tal
Название: Lectures on Modern Convex Optimization
ISBN: 0898714915 ISBN-13(EAN): 9780898714913
Издательство: Mare Nostrum (Eurospan)
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Цена: 129580.00 T
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Описание: Examines well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming. The authors present the basic theory underlying these problems as well as their numerous applications in engineering, including synthesis of filters, Lyapunov stability analysis, and structural design.

Measure and Capacity of Wandering Domains in Gevrey Near-Integrable Exact Symplectic Systems

Автор: Laurent Lazzarini, Jean-Pierre Marco, David Sauzin
Название: Measure and Capacity of Wandering Domains in Gevrey Near-Integrable Exact Symplectic Systems
ISBN: 147043492X ISBN-13(EAN): 9781470434922
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
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Описание: Provides a contribution to the "quantitative Hamiltonian perturbation theory" initiated in previous works on the optimality of long term stability estimates and diffusion times. The emphasis here is on discrete systems because this is the natural setting to study wandering domains.

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: 3764363975 ISBN-13(EAN): 9783764363970
Издательство: Springer
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Цена: 195610.00 T
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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.

Non-Oscillation Domains of Differential Equations with Two Parameters

Автор: Angelo B. Mingarelli; S. Gotskalk Halvorsen
Название: Non-Oscillation Domains of Differential Equations with Two Parameters
ISBN: 3540500782 ISBN-13(EAN): 9783540500780
Издательство: Springer
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Цена: 23280.00 T
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Описание: Offers an introduction to single linear differential equations (systems) with two parameters and extensions to difference equations and Stieltjes integral equations. This book is suitable for graduate students and researchers.

Higher Order Boundary Value Problems On Unbounded Domains: Types Of Solutions, Functional Problems And Applications

Автор: Minhos Feliz Manuel, Carrasco Hugo Alexandre Sacristao
Название: Higher Order Boundary Value Problems On Unbounded Domains: Types Of Solutions, Functional Problems And Applications
ISBN: 9813209909 ISBN-13(EAN): 9789813209909
Издательство: World Scientific Publishing
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Цена: 85530.00 T
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Описание:

This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line (Sturm-Liouville and Lidstone types, impulsive, functional and problems defined by Hammerstein integral equations). It also includes classical and new methods and techniques to deal with the lack of compactness of the related operators.

The reader will find a selection of original and recent results in this field, conditions to obtain solutions with particular qualitative properties, such as homoclinic and heteroclinic solutions and its relation with the solutions of Lidstone problems on all the real line.

Each chapter contains applications to real phenomena, to classical equations or problems, with a common denominator: they are defined on unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete cases.

The last part features some higher order functional problems, which generalize the classical two-point or multi-point boundary conditions, to more comprehensive data where an overall behavior of the unknown functions and their derivatives is involved.


Hyponormal Quantization of Planar Domains

Автор: Bj?rn Gustafsson; Mihai Putinar
Название: Hyponormal Quantization of Planar Domains
ISBN: 3319658093 ISBN-13(EAN): 9783319658094
Издательство: Springer
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Цена: 32600.00 T
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Описание:

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established.

The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximation theory, mathematical physics.


Period Mappings and Period Domains

Автор: James Carlson, Stefan Muller-Stach, Chris Peters
Название: Period Mappings and Period Domains
ISBN: 1108422624 ISBN-13(EAN): 9781108422628
Издательство: Cambridge Academ
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Цена: 91870.00 T
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Описание: This up-to-date introduction to Griffiths` theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. The second edition has been thoroughly revised and now includes a new third section covering recent and important new developments in the field.

Classical and Involutive Invariants of Krull Domains

Автор: M.V. Reyes S?nchez; A. Verschoren
Название: Classical and Involutive Invariants of Krull Domains
ISBN: 9401064946 ISBN-13(EAN): 9789401064941
Издательство: Springer
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Цена: 93160.00 T
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Green`s Kernels and Meso-Scale Approximations in Perforated Domains

Автор: Vladimir Maz`ya; Alexander Movchan; Michael Nieves
Название: Green`s Kernels and Meso-Scale Approximations in Perforated Domains
ISBN: 3319003569 ISBN-13(EAN): 9783319003566
Издательство: Springer
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Цена: 46570.00 T
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Описание:

Part I: Green's functions in singularly perturbed domains: Uniform asymptotic formulae for Green's functions for the Laplacian in domains with small perforations.- Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green's kernels.- Green's function for the Dirichlet boundary value problem in a domain with several inclusions.- Numerical simulations based on the asymptotic approximations.- Other examples of asymptotic approximations of Green's functions in singularly perturbed domains.- Part II: Green's tensors for vector elasticity in bodies with small defects: Green's tensor for the Dirichlet boundary value problem in a domain with a single inclusion.- Green's tensor in bodies with multiple rigid inclusions.- Green's tensor for the mixed boundary value problem in a domain with a small hole.- Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems.- Mixed boundary value problems in multiply-perforated domains.


Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains

Автор: Mikhail S. Agranovich
Название: Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
ISBN: 3319351834 ISBN-13(EAN): 9783319351834
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.


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