Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

A Volume of Advances in Partial Differential Equations
Softcover Nachdruck of the original 1. Auflage 2003
ISBN: 978-3-0348-9429-6
Verlag: Birkhäuser Basel

Buch, Englisch, 440 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 680 g

Reihe: 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".

Zielgruppe

Research

Autoren/Hrsg.

Albeverio, Sergio

Schulze, Bert-Wolfgang

Demuth, Michael

Schrohe, Elmar

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.