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