Modern Aspects of the Theory of Partial Differential Equations

1. Front Matter

   Pages i-vii

   PDF

2. Toeplitz Operators and Asymptotic Equivariant Index

   • L. Boutet de Monvel

   Pages 1-16

3. Boundary Value Problems of Analytic and Harmonic Functions in a Domain with Piecewise Smooth Boundary in the Frame of Variable Exponent Lebesgue Spaces

   • Vakhtang Kokilashvili

   Pages 17-39

4. Edge-degenerate Operators at Conical Exits to Infinity

   • B.-Wolfgang Schulze

   Pages 41-64

5. On a Method for Solving Boundary Problems for a Third-order Equation with Multiple Characteristics

   • Yusupjon P. Apakov

   Pages 65-78

6. On Stability and Trace Regularity of Solutions to Reissner-Mindlin-Timoshenko Equations

   • George Avalos, Daniel Toundykov

   Pages 79-91

7. Linearization of a Coupled System of Nonlinear Elasticity and Viscous Fluid

   • Lorena Bociu, Jean-Paul Zolésio

   Pages 93-120

8. Some Results on the Identification of Memory Kernels

   • F. Colombo, D. Guidetti

   Pages 121-138

9. A k-uniform Maximum Principle When 0 is an Eigenvalue

   • Genni Fragnelli, Dimitri Mugnai

   Pages 139-151

10. Steady-state Solutions for a General Brusselator System

    • Marius Ghergu

    Pages 153-166

11. Ordinary Differential Equations with Distributions as Coefficients in the Sense of the Theory of New Generalized Functions

    • Uladzimir U. Hrusheuski

    Pages 167-185

12. A Boundary Condition and Spectral Problems for the Newton Potential

    • T. Sh. Kalmenov, D. Suragan

    Pages 187-210

13. An Extremum Principle for a Class of Hyperbolic Type Equations and for Operators Connected with Them

    • I. U. Khaydarov, M. S. Salakhitdinov, A. K. Urinov

    Pages 211-231

14. Numerical Investigations of Tangled Flows in a Channel of Constant and Variable Section at Presence of Recirculation Zone

    • S. Khodjiev

    Pages 233-241

15. The Optimal Interior Regularity for the Critical Case of a Clamped Thermoelastic System with Point Control Revisited

    • Catherine Lebiedzik, Roberto Triggiani

    Pages 243-259

16. Multidimensional Controllability Problems with Memory

    • Paola Loreti, Daniela Sforza

    Pages 261-274

17. The Schrödinger Flow in a Compact Manifold: High-frequency Dynamics and Dispersion

    • Fabricio Macià

    Pages 275-289

18. Optimality of the Asymptotic Behavior of the Energy for Wave Models

    • Michael Reissig

    Pages 291-315

19. On Singular Systems of Parabolic Functional Equations

    • László Simon

    Pages 317-330

20. Boundary-value Problems for a Class of Third-order Composite Type Equations

    • O. S. Zikirov

    Pages 331-341

The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.

• Evolution equations
• control theory
• inverse problems
• nonlinear equations
• partial differential equations

• Department of Mathematics, Imperial College London, London, United Kingdom

  Michael Ruzhansky

• , Fachbereich Mathematik, Universität Stuttgart, Stuttgart, Germany

  Jens Wirth

Policies and ethics