Recent trends in operator theory and partial differential equations : the Roland Duduchava anniversary volume
Author(s)
Bibliographic Information
Recent trends in operator theory and partial differential equations : the Roland Duduchava anniversary volume
（Operator theory : advances and applications, v. 258）
Birkhäuser , Springer, c2017
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Other editors: David Natroshvili, Eugene Shargorodsky, Wolfgang L. Wendland
"Roland Duduchava's publications": p. x-xviii
Includes bibliographical references
Description and Table of Contents
Description
This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.
Table of Contents
Roland Duduchava.- The Duduchava-Roch formula.- Convolution Type Operators with Symmetry in Bessel Potential Spaces.- On Symmetries of the Feinberg-Zee Random Hopping Matrix.- Inequalities of Babuska-Aziz and Friedrichs-Velte for differential forms.- High Frequency Oscillations of first Eigenmodes in Axisymmetric shells as the thickness tends to zero.- Kernels of Wiener-Hopf plus Hankel operators with matching generating functions.- Spline Galerkin methods for the double layer potential equations on contours with corners.- C*-algebras of Bergman Type Operators with Piecewise Continuous Coefficients over Bounded Polygonal Domains.- Solvability and Lyapunov stability of a two-component system of generalized Poisson-Nernst-Planck equations.- A local uniqueness result for a quasi-linear heat transmission problem in a periodic two-phase dilute composite.- The method of potential operators for anisotropic Helmholtz operators on domains with smooth unbounded boundaries.- Gabor Analysis for Schroedinger Equations and Propagation of Singularities.- Commutative algebras of Toeplitz operators on a Siegel domain associated with the nilpotent group of its biholomorphisms.
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