Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations: A Volume of Advances in Partial Differential Equations [Hardcover]

Nonlinear PDE. Singularities, Propagation, Applications.- From Wave to KleinGordon 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 singuli?res.- Regularisation of Secondary Characteristic Classes and Unusual Index Formulas for Operator-valued Symbols.Third volume of the subseries Advances in Partial Differential Equations Up-to-date contributions written by experts in the respective fields

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 .