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Modern Aspects of the Theory of Partial Differential Equations

  • Book
  • © 2011

Overview

Editors:
  1. Michael Ruzhansky

    1. Department of Mathematics, Imperial College London, London, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  2. Jens Wirth

    1. , Fachbereich Mathematik, Universität Stuttgart, Stuttgart, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • Covers a wide range of active research areas in PDE
  • Useful source of information for mathematicians, scientists, engineers
  • Includes contributions from authors from many different countries
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 216)

Part of the book sub series: Advances in Partial Differential Equations (APDE)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter 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
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Keywords

About this book

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.

Editors and Affiliations

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

    Michael Ruzhansky

  • , Fachbereich Mathematik, Universität Stuttgart, Stuttgart, Germany

    Jens Wirth

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