Pseudo-Differential Operators: Analysis, Applications and Computations

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Rodino, Luigi (Επιμελητής έκδοσης), Wong, M. W. (Επιμελητής έκδοσης), Zhu, Hongmei (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2011.
• Σειρά: Operator Theory: Advances and Applications ; 213
• Θέματα: Mathematics.; Operator theory.; Partial differential equations.; Geometry.; Electrical engineering.; Partial Differential Equations.; Operator Theory.; Electrical Engineering.

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13–18, 2009. Featured in this volume are the analysis, applications...

Πίνακας περιεχομένων:

• Preface
• Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators
• Spectral Theory of Pseudo-Differential Operators on S1
• A Characterization of Compact Pseudo-Differential Operators on S1
• Melin Operator with Asymptotics on Manifolds with Corners
• The Iterative Structure of the Corner Calculus
• Elliptic Equations and Boundary Value Problems in Non-Smooth Domains
• Calculus of Pseudo-Differential Operators and a Local Index of Dirac Operators
• Lp Bounds for a Class of Fractional Powers of Subelliptic Operators
• The Heat Kernel and Green Function of the Generalized Hermite Operator, and the Abstract Cauchy Problem for the Abstract Hermite Operator
• Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols
• Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane
• Fuchsian Mild Microfunctions with Fractional Order and their Applications to Hyperbolic Equations
• The Continuity of Solutions with respect to a Parameter to Symmetric Hyperbolic Systems
• Generalized Gevrey Ultradistributions and their Microlocal Analysis
• Weyl Rule and Pseudo-Differential Operators for Arbitrary Operators
• Time-Frequency Characterization of Stochastic Differential Equations
• Wigner Representation Associated with Linear Transformations of the Time-Frequency Plane
• Some Remarks on Localization Operators.