1.

Record Nr.

UNINA9910254294703321

Titolo

Recent trends in operator theory and partial differential equations : the Roland Duduchava anniversary volume / / edited by Vladimir Maz'ya, David Natroshvili, Eugene Shargorodsky, Wolfgang L. Wendland

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XVIII, 300 p. 24 illus., 22 illus. in color.)

Collana

Operator Theory: Advances and Applications, , 0255-0156 ; ; 258

Disciplina

515.353

Soggetti

Operator theory

Partial differential equations

Integral equations

Numerical analysis

Operator Theory

Partial Differential Equations

Integral Equations

Numerical Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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.

Sommario/riassunto

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.