عنوان

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

شابک

9783034880732

شابک

9783034894296

شماره

b406204

عنوان اصلي

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

نام عام مواد

[Book]

ساير اطلاعات عنواني

A Volume of Advances in Partial Differential Equations /

نام نخستين پديدآور

edited by Sergio Albeverio, Michael Demuth, Elmar Schrohe, Bert-Wolfgang Schulze.

محل نشرو پخش و غیره

Basel :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

2003.

عنوان فروست

Operator Theory: Advances and Applications ;

مشخصه جلد

145

متن يادداشت

Nonlinear PDE. Singularities, Propagation, Applications -- From Wave to Klein-Gordon Type Decay Rates -- Local Solutions to Quasi-linear Weakly Hyperbolic Differential Equations -- An Approach to a Version of the S(M, g)-pseudo-differential Calculus on Manifolds -- Spectral Invariance and Submultiplicativity for the Algebras of S(M, g)-pseudo-differential Operators on Manifolds -- Domain Perturbations and Capacity in General Hilbert Spaces and Applications to Spectral Theory -- An Interpolation Family between Gabor and Wavelet Transformations. Application to Differential Calculus and Construction of Anisotropic Banach Spaces -- Formes de torsion analytique et fibrations singulières -- Regularisation of Secondary Characteristic Classes and Unusual Index Formulas for Operator-valued Symbols.

بدون عنوان

0

متن يادداشت

This book is the seventh volume of "Advances in Partial Differential Equations" , a series originating from the work of the research group "Partial Differential Equa tions and Complex Analysis" at the University of Potsdam. The present volume focuses on recent developments in nonlinear and hyper bolic equations. In the first contribution, P. Popivanov of Sofia studies the singu larities of solutions of several classes of nonlinear partial differential equations and systems. He begins with a survey of the known theory on propagation and inter action of singularities and then presents his own results which have applications to the Monge-Ampere equation, to quasi-linear systems arising in fluid mechanics as well as to integro-differential equations for mechanics of media with memory. There follows an article by F. Hirosawa (Tsukuba) and M. Reissig (Freiberg) on Lp - Lq decay estimates for Klein-Gordon equations with time-dependent coef ficients. They explain, in particular, the influence of the relation between the mass term and the wave propagation speed on the estimates. The third paper is by M. Dreher (Freiberg). He investigates quasi-linear weakly hyperbolic equations. His main topics are the local existence of solutions in Sobolev spaces and Coo, blow-up criteria, domains of dependence, and C= regularity. Spectral theory of semi bounded selfadjoint operators is the topic of the con tribution by A. Noll (Darmstadt). He proves upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second eigenvalue in terms of capacitary estimates.

شماره استاندارد بين المللي کتاب و موسيقي

9783034894296

عنوان

Springer eBooks

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Operator theory.

مستند نام اشخاص تاييد نشده

Albeverio, Sergio.

مستند نام اشخاص تاييد نشده

Demuth, Michael.

مستند نام اشخاص تاييد نشده

Schrohe, Elmar.

مستند نام اشخاص تاييد نشده

Schulze, Bert-Wolfgang.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307160400.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y