Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians, Gong Chen
Автор: Camille Laurent, Matthieu Leautaud Название: Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations ISBN: 1470451387 ISBN-13(EAN): 9781470451387 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Поставка под заказ. Описание: This memoir is concerned with quantitative unique continuation estimates for equations involving a "sum of squares" operator L on a compact manifold M assuming: (i) the Chow-Rashevski-H?ormander condition ensuring the hypoellipticity of L,and(ii) the analyticity of M and the coefficients of L. The first result is the tunneling estimate ?L2(?) ? Ce?c?k 2 for normalized eigenfunctions ? of L from a nonempty open set ? ?M,wherek is the hypoellipticity index of L and ? the eigenvalue. The main result is a stability estimate for solutions to the hypoelliptic wave equation (?2 t + L)u =0:forT>2supx?M(dist(x,?)) (here, dist is the subRiemannian distance), the observation of the solution on (0,T) ? ? determines the data. The constant involved in the estimate is Cec?k where?isthetypical frequency of the data. Wethen prove the approximate controllability of the hypoelliptic heat equation (?t +L)v = 1?f in any time, with appropriate (exponential) cost, depending on k. In case k = 2 (Grushin, Heisenberg...), we further show approximate controllability to trajectories with polynomial cost in large time. We also explain how the a nalyticity assumption can be relaxed, and a boundary ?Mcan be added in some situations.
Автор: Chongchun Zeng, Zhiwu Lin Название: Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs ISBN: 1470450445 ISBN-13(EAN): 9781470450441 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 84090.00 T Наличие на складе: Поставка под заказ. Описание: This book presents an overview of the diverse literature on change-point methodology and describes some unifying themes and recent breakthroughs. It can be used as a second-year Ph.D. level course in statistics. It is expected to be useful to researchers and graduate students, not only in statistics but also in engineering, biomedicine, economics and finance.
Автор: T. Alazard, N. Burq, C. Zuily Название: Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations ISBN: 147043203X ISBN-13(EAN): 9781470432034 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 80390.00 T Наличие на складе: Невозможна поставка. Описание: Devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in fluid domains with general bottoms, when the initial velocity field is not necessarily Lipschitz. For two-dimensional waves, the authors consider solutions such that the curvature of the initial free surface does not belong to $L^2$.
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) Рейтинг: Цена: 99790.00 T Наличие на складе: Невозможна поставка. 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: Mourad Bellassoued; Masahiro Yamamoto Название: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems ISBN: 4431565981 ISBN-13(EAN): 9784431565987 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Franziska K?hn Название: L?vy Matters VI ISBN: 3319608878 ISBN-13(EAN): 9783319608877 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presenting some recent results on the construction and the moments of Levy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Levy-type processes behave locally like Levy processes but, in contrast to Levy processes, they are not homogeneous in space.
Автор: Igor W. Gel`man Название: Estimates for Differential Operators in Half-space ISBN: 3037191910 ISBN-13(EAN): 9783037191910 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 60060.00 T Наличие на складе: Поставка под заказ.
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 Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Rafael Benguria; Eduardo Friedman; Marius Mantoiu Название: Spectral Analysis of Quantum Hamiltonians ISBN: 3034807627 ISBN-13(EAN): 9783034807623 Издательство: Springer Рейтинг: Цена: 111760.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains surveys as well as research articles broadly centered on spectral analysis.
Автор: Calvin Ahlbrandt; A.C. Peterson Название: Discrete Hamiltonian Systems ISBN: 1441947639 ISBN-13(EAN): 9781441947635 Издательство: Springer Рейтинг: Цена: 269260.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In particular, the material of the chapters on continued fractions (Chapter 2), symplectic systems (Chapter 3), and discrete variational theory (Chapter 4) summarize recent literature. Similarly, the material on transforming Riccati equations presented in Chapter 3 gives a self-contained unification of various forms of Riccati equations.
Автор: Feruccio Colombini; Claude Zuily Название: Carleman Estimates and Applications to Uniqueness and Control Theory ISBN: 1461266602 ISBN-13(EAN): 9781461266600 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz
