Alternative Pseudodifferential Analysis
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Pseudo-Differential Operators
Author: Hans G. Feichtinger
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-08-11
Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.
Blow-up Theories for Semilinear Parabolic Equations
Author: Bei Hu
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-03-23
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
Matrix Convolution Operators on Groups
Author: Cho-Ho Chu
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-08-25
This book presents developments in the spectral theory of convolution operators of matrix functions. It studies the contractivity properties of matrix convolution semigroups and details applications to harmonic functions.