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Advances in the Mathematical Sciences
Partial Differential Equations
Edited by: M. S. Agranovich, Moscow Institute of Electronics and Mathematics, Russia, and M. A. Shubin, Northeastern University, Boston, MA

American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
2002; 278 pp; hardcover
Volume: 206
ISBN-10: 0-8218-3303-0
ISBN-13: 978-0-8218-3303-2
List Price: US$130
Member Price: US$104
Order Code: TRANS2/206
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Mark Vishik's Partial Differential Equations seminar held at Moscow State University was one of the world's leading seminars in PDEs for over 40 years. This book celebrates Vishik's eightieth birthday. It comprises new results and survey papers written by many renowned specialists who actively participated over the years in Vishik's seminars.

Contributions include original developments and methods in PDEs and related fields, such as mathematical physics, tomography, and symplectic geometry. Papers discuss linear and nonlinear equations, particularly linear elliptic problems in angles and general unbounded domains, linear elliptic problems with a parameter for mixed order systems, infinite-dimensional Schrödinger equations, Navier-Stokes equations, and nonlinear Maxwell equations. The book ends on a historical note with a paper about Vishik's seminar as a whole and a list of selected talks given from 1964 through 1989.

The book is suitable for graduate students and researchers in pure and applied mathematics and mathematical physics.


Graduate students, researchers in pure and applied mathematics and mathematical physics.

Table of Contents

  • A. Babin and A. Figotin -- Multilinear spectral decomposition for nonlinear Maxwell equations
  • R. Denk and L. Volevich -- Elliptic boundary value problems with large parameter for mixed order systems
  • A. Dynin -- Feynman integral for functional Schrödinger equations
  • B. Fedosov -- On normal Darboux coordinates
  • A. Fursikov -- Real process corresponding to the 3D Navier-Stokes system, and its feedback stabilization from the boundary
  • A. Komech, A. Merzon, and P. Zhevandrov -- A method of complex characteristics for elliptic problems in angles, and its applications
  • S. B. Kuksin -- On exponential convergence to a stationary measure for nonlinear PDEs, perturbed by random kick-forces, and the turbulence-limit
  • V. P. Palamodov -- Impedance tomography, inverse scattering, and phase space analysis
  • A. Volpert and V. Volpert -- Normal solvability and properness of elliptic problems
  • M. S. Agranovich -- Mark Vishik's seminar at Moscow state university
  • M. Shubin -- List of selected talks at M. I. Vishik's seminar in Moscow
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