Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations - A Volume of Advances in Partial Differential Equations

This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".

List of contents

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.

About the author

Dipl.-Kaufmann Michael Demuth ist Geschäftsführer der Vermögensberatungsgesellschaft Creative Capital GmbH.

Summary

This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in  mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".

Product details

• Assisted by: Sergio Albeverio (Editor), Michael Demuth (Editor), Elmar Schrohe (Editor), Bert-Wolfgang Schulze (Editor)
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 17.08.2005
• EAN: 9783764321680
• ISBN: 978-3-7643-2168-0
• No. of pages: 440
• Weight: 930 g
• Illustrations: VII, 440 p.
• Series: Operator Theory: Advances and Applications; Advances in Partial Differential Equations; Operator Theory: Advances and Applications; Advances in Partial Differential Equations
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, C, Mathematische Physik, Differentialrechnung und -gleichungen, Physics, Mathematics and Statistics, Functional Analysis, Mathematical physics, Partial Differential Equations, Differential calculus & equations, Mathematical Methods in Physics, Analysis (Mathematics), Functional analysis & transforms, Mathematical analysis, Operator Theory