Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

1. The Dirichlet Problem for the Heat Equation in Domains with Cuspidal Points on the Boundary
Alexandra Antoniouk, Nikolai Tarkhanov

2. Globally Bisingular Elliptic Operators
U. Battisti, T. Gramchev, L. Rodino, S. Pilipović

3. The Index Formula of Douglas for Block Toeplitz Operators on the Bergman Space of the Ball
Albrecht Böttcher, Antti Perälä

4. The Green Function and Optical Field Enhancement in a Multilayered Microsphere with Metamaterial
Gennadiy Burlak, Vladimir Rabinovich

5. Potential Methods for Anisotropic Pseudo-Maxwell Equations in Screen Type Problems
O. Chkadua, R. Duduchava, D. Kapanadze

6. Functions of Noncommuting Operators in an Asymptotic Problem for a 2D Wave Equation with Variable Velocity and Localized Right-hand Side
Sergey Dobrokhotov, Dmitrii Minenkov, Vladimir Nazaikinskii, Brunello Tirozzi

7. On Toeplitz and Hankel Operators with Oscillatory Symbols Containing Blaschke Products and Applications to the KdV Equation
Sergei Grudsky, Alexei Rybkin

8. Mellin Quantisation in Corner Operators
N. Habal, B.-W. Schulze

9. Pseudodifferential Operators on Variable Lebesgue Spaces
Alexei Yu. Karlovich, Ilya M. Spitkovsky

10. On Convolution Type Operators with Piecewise Slowly Oscillating Data
Yuri I. Karlovich, Iván Loreto Hernández

11. Transmutations and Spectral Parameter Power Series in Eigenvalue Problems
Vladislav V. Kravchenko, Sergii M. Torba

12. Estimate from Below for the Growth of Solution to the Navier-Stokes Equation When the Solution Blows Up
Valeri V. Kucherenko

13. Some New Scales of Weight Characterizations of Hardy-type Inequalities
Alois Kufner, Lars-Erik Persson, Natasha Samko

14. Almost Periodic Elliptic Equations: Sub- and Super-solutions
Gaston M. N’Guérékata, Alexander Pankov

15. Morrey-Campanato Spaces: an Overview
Humberto Rafeiro, Natasha Samko, Stefan Samko

16. Arveson Dichotomy and Essential Fractality
Steffen Roch

17. Lower Bounds for the Counting Function of Integral Operators
Y. Safarov

18. Toeplitz Operators on the Bergman Spaces with Pseudodifferential Defining Symbols
Armando Sánchez-Nungaray, Nikolai Vasilevski

19. Finite Sections of Band-dominated Operators – Norms, Condition Numbers and Pseudospectra
Markus Seidel, Bernd Silbermann

20. On the Reduction of Linear Systems Related to Boundary Value Problems
Frank-Olme Speck

Keywords: Mathematics, Partial Differential Equations, Operator Theory