Microlocal Analysis and Precise Spectral Asymptotics, Victor Ivrii

Автор: Michael Beals; Richard B. Melrose; Jeffrey Rauch
Название: Microlocal Analysis and Nonlinear Waves
ISBN: 1461391385 ISBN-13(EAN): 9781461391388
Издательство: Springer
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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.

Автор: Olver, Frank W. J.,
Название: Asymptotics And Special Functions
ISBN: 1568810695 ISBN-13(EAN): 9781568810690
Издательство: Taylor&Francis
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Описание: A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool

Автор: Luigi Rodino
Название: Microlocal Analysis and Spectral Theory
ISBN: 9401063710 ISBN-13(EAN): 9789401063715
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli (Lucca), Italy, 23 September-3 October 1996

Автор: J.M. Bony; Lamberto Cattabriga; G. Grubb; Luigi Ro
Название: Microlocal Analysis and Applications
ISBN: 354054948X ISBN-13(EAN): 9783540549482
Издательство: Springer
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Описание: This volume is comprised of a series of lectures given during a mathematical conference on partial differential equations and Schroedinger equations.

Автор: H.G. Garnir
Название: Advances in Microlocal Analysis
ISBN: 9027721955 ISBN-13(EAN): 9789027721952
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute, Castelvecchio Pascoli, Lucca, Italy, September 2-12, 1985

Автор: Frankel N.
Название: Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
ISBN: 0521497981 ISBN-13(EAN): 9780521497985
Издательство: Cambridge Academ
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Описание: This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.

Автор: Shahla Molahajloo; Stevan Pilipovi?; Joachim Toft;
Название: Pseudo-Differential Operators, Generalized Functions and Asymptotics
ISBN: 3034808038 ISBN-13(EAN): 9783034808033
Издательство: Springer
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Описание: This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples' Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.

Автор: Victor Ivrii
Название: Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary
ISBN: 3540133615 ISBN-13(EAN): 9783540133612
Издательство: Springer
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Автор: Seiichiro Wakabayashi
Название: Classical Microlocal Analysis in the Space of Hyperfunctions
ISBN: 3540676031 ISBN-13(EAN): 9783540676034
Издательство: Springer
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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.