Recent Trends in Operator Theory and Partial Differential Equations

The Roland Duduchava Anniversary Volume
Buch | Hardcover
XVIII, 300 Seiten
2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-47077-1 (ISBN)

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Recent Trends in Operator Theory and Partial Differential Equations -
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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.

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

Erscheinungsdatum
Reihe/Serie Operator Theory: Advances and Applications
Zusatzinfo XVIII, 300 p. 24 illus., 22 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Differential calculus and equations • Functional analysis and transforms • Integral calculus and equations • Integral equations • mathematics and statistics • Numerical analysis • operator theory • Partial differential equations • pseudodifferential operators • spectral theory • Toeplitz • Wiener-Hopf
ISBN-10 3-319-47077-9 / 3319470779
ISBN-13 978-3-319-47077-1 / 9783319470771
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