Recent Trends in Operator Theory and Partial Differential Equations : The Roland Duduchava Anniversary Volume (Operator Theory: Advances and Applications)

Maz'ya, Vladimir (EDT)/ Natroshvili, David (EDT)/ Shargorodsky, Eugene (EDT)

Birkhauser Verlag AG（2017/03発売）

• 製本 Hardcover:ハードカバー版／ページ数 300 p.
• 言語 ENG
• 商品コード 9783319470771
• DDC分類 515.353

Full 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.

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 Babuška-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 Schrödinger Equations and Propagation of Singularities.- Commutative algebras of Toeplitz operators on a Siegel domain associated with the nilpotent group of its biholomorphisms.