Recent Trends in Operator Theory and Partial Differential Equations

1. The Duduchava–Roch Formula
Albrecht Böttcher

2. Convolution Type Operators with Symmetry in Bessel Potential Spaces
Luís Pinheiro Castro, Frank-Olme Speck

3. On Symmetries of the Feinberg–Zee Random Hopping Matrix
Simon N. Chandler-Wilde, Raffael Hagger

4. Inequalities of Babuška–Aziz and Friedrichs–Velte for Differential Forms
Martin Costabel

5. High Frequency Oscillations of First Eigenmodes in Axisymmetric Shells as the Thickness Tends to Zero
Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou, Zohar Yosibash

6. Kernels of Wiener–Hopf plus Hankel Operators with Matching Generating Functions
Victor D. Didenko, Bernd Silbermann

7. Spline Galerkin Methods for the Double Layer Potential Equations on Contours with Corners
Victor D. Didenko, Anh My Vu

8.
C
*-algebras of Bergman Type Operators with Piecewise Continuous Coefficients over Bounded Polygonal Domains
E. Espinoza-Loyola, Yu. I. Karlovich

9. Solvability and Lyapunov Stability of a Two-component System of Generalized Poisson–Nernst–Planck Equations
Victor A. Kovtunenko, Anna V. Zubkova

10. A Local Uniqueness Result for a Quasi-linear Heat Transmission Problem in a Periodic Two-phase Dilute Composite
Matteo Dalla Riva, Massimo Lanza Cristoforis, Paolo Musolino

11. The Method of Potential Operators for Anisotropic Helmholtz Operators on Domains with Smooth Unbounded Boundaries
Vladimir Rabinovich

12. Gabor Analysis for Schrödinger Equations and Propagation of Singularities
Elena Cordero, Fabio Nicola, Luigi Rodino

13. Commutative Algebras of Toeplitz Operators on a Siegel Domain Associated with the Nilpotent Group of Its Biholomorphisms
Armando Sánchez-Nungaray, Nikolai Vasilevski

Keywords: Mathematics, Operator Theory, Partial Differential Equations, Integral Equations, Numerical Analysis