On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation, M. Escobedo, J. J. L. Velazquez
Автор: Hongzi Cong, Jianjun Liu, Xiaoping Yuan Название: Stability of KAM Tori for Nonlinear Schrodinger Equation ISBN: 1470416573 ISBN-13(EAN): 9781470416577 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 78540.00 T Наличие на складе: Невозможна поставка. Описание: The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear Schrodinger equation $$\sqrt{-1}\, u_{t}=u_{xx}-M_{\xi}u+\varepsilon|u|^2u,$$ subject to Dirichlet boundary conditions $u(t,0)=u(t,\pi)=0$, where $M_{\xi}$ is a real Fourier multiplier.
Автор: Agmon Shmuel Название: Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations. (MN-29) ISBN: 0691613672 ISBN-13(EAN): 9780691613673 Издательство: Wiley Рейтинг: Цена: 31680.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Mathematical Notes, 29 Originally published in 1983. 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 editions preserve the original texts of these important books while presenting them in durable paper
Автор: Fibich Gadi Название: Nonlinear Schrodinger Equation ISBN: 3319127470 ISBN-13(EAN): 9783319127477 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Nonlinear Schrodinger Equation
Автор: Thomas Scaffidi Название: Weak-Coupling Theory of Topological Superconductivity ISBN: 3319628666 ISBN-13(EAN): 9783319628660 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Lastly, the thesis makes predictions for the properties of the material under uniaxial strain, which are in good agreement with recent experiments -resolving the mystery of the so-called 3K phase, and suggesting the intriguing possibility that under strain the superconductor may become conventional.
Автор: Patrick Billingsley Название: Weak Convergence of Measures: Applications in Probability ISBN: 0898711762 ISBN-13(EAN): 9780898711769 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 36790.00 T Наличие на складе: Невозможна поставка. Описание: A treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables.
Автор: Yulia Karpeshina, Roman Shterenberg Название: Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two ISBN: 1470435438 ISBN-13(EAN): 9781470435431 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 83160.00 T Наличие на складе: Невозможна поставка. Описание: Considers a Schrodinger operator $H=-\Delta +V(\vec x)$ in dimension two with a quasi-periodic potential $V(\vec x)$. The authors prove that the absolutely continuous spectrum of $H$ contains a semiaxis and there is a family of generalized eigenfunctions at every point of this semiaxis with the following properties.
Автор: Vladimir I. Bogachev Название: Weak Convergence of Measures ISBN: 147044738X ISBN-13(EAN): 9781470447380 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: This book provides a thorough exposition of the main concepts and results related to various types of convergence of measures arising in measure theory, probability theory, functional analysis, partial differential equations, mathematical physics, and other theoretical and applied fields. Particular attention is given to weak convergence of measures. The principal material is oriented toward a broad circle of readers dealing with convergence in distribution of random variables and weak convergence of measures.The book contains the necessary background from measure theory and functional analysis. Large complementary sections aimed at researchers present the most important recent achievements. More than 100 exercises (ranging from easy introductory exercises to rather difficult problems for experienced readers) are given with hints, solutions, or references. Historic and bibliographic comments are included.The target readership includes mathematicians and physicists whose research is related to probability theory, mathematical statistics, functional analysis, and mathematical physics.
Introduction.- Stochastic Evolution Equations in Hilbert Spaces.- Optimal Strong Error Estimates for Galerkin Finite Element Methods.- A Short Review of the Malliavin Calculus in Hilbert Spaces.- A Malliavin Calculus Approach to Weak Convergence.- Numerical Experiments.- Some Useful Variations of Gronwall's Lemma.- Results on Semigroups and their Infinitesimal Generators.- A Generalized Version of Lebesgue's Theorem.- References.- Index.
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