Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

A Volume of Advances in Partial Differential Equations
2003
ISBN: 978-3-7643-2168-0
Verlag: Springer

Buch, Englisch, 440 Seiten, Format (B × H): 170 mm x 241 mm, Gewicht: 1040 g

Reihe: Operator Theory: Advances and Applications

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

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

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.