Описание: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schr?dinger operator, miscellaneous problems, and multiparticle quantum theory.In this volume the methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.
Описание: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schr?dinger operator, miscellaneous problems, and multiparticle quantum theory.In this volume the methods developed in Volumes I, II and III are applied to the Schr?dinger and Dirac operators in non-smooth settings and in higher dimensions.
Автор: Seiichiro Wakabayashi Название: Classical Microlocal Analysis in the Space of Hyperfunctions ISBN: 3540676031 ISBN-13(EAN): 9783540676034 Издательство: Springer Рейтинг: Цена: 7959.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category.
Автор: H.G. Garnir Название: Advances in Microlocal Analysis ISBN: 9027721955 ISBN-13(EAN): 9789027721952 Издательство: Springer Рейтинг: Цена: 33541.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute, Castelvecchio Pascoli, Lucca, Italy, September 2-12, 1985
Автор: Michael Hitrik; Dmitry Tamarkin; Boris Tsygan; Ste Название: Algebraic and Analytic Microlocal Analysis ISBN: 3030015866 ISBN-13(EAN): 9783030015862 Издательство: Springer Рейтинг: Цена: 32142.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of K?hler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.
Описание: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schr?dinger operator, miscellaneous problems, and multiparticle quantum theory.In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.
Автор: J.M. Bony; Lamberto Cattabriga; G. Grubb; Luigi Ro Название: Microlocal Analysis and Applications ISBN: 354054948X ISBN-13(EAN): 9783540549482 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is comprised of a series of lectures given during a mathematical conference on partial differential equations and Schroedinger equations.
Автор: Luigi Rodino Название: Microlocal Analysis and Spectral Theory ISBN: 9401063710 ISBN-13(EAN): 9789401063715 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli (Lucca), Italy, 23 September-3 October 1996
Автор: Michael Beals; Richard B. Melrose; Jeffrey Rauch Название: Microlocal Analysis and Nonlinear Waves ISBN: 1461391385 ISBN-13(EAN): 9781461391388 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: If P( t, x, Dt,x) is a strictly hyperbolic operator or system then the singular support of f gives an upper bound for the singular support of u (Courant-Lax, Lax, Ludwig), namely singsupp u C the union of forward rays passing through the singular support of f.
Описание: The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
Описание: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schr?dinger operator, miscellaneous problems, and multiparticle quantum theory.In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.
Автор: Victor Ivrii Название: Microlocal Analysis and Precise Spectral Asymptotics ISBN: 3642083072 ISBN-13(EAN): 9783642083075 Издательство: Springer Рейтинг: Цена: 20263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; to provide furt her progress and only a couple of not very exciting problems remained to be solved.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
