RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 Forthcoming seminars Seminar calendar List of seminars Archive by years Register a seminar Search RSS Forthcoming seminars

You may need the following programs to see the files

Steklov Mathematical Institute Seminar
February 15, 2001, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

On the existence of limit values on the boundary for solutions of elliptic equations

V. P. Mikhailov

Abstract: Let $u(x)=u(x_1,…,x_n)$ be a solution of the elliptic equation
$$\Delta^mu+P(i\partial/{\partial x})u=0,$$
in a strip, where $m\ge1$ and $P(\xi)$ is an arbitrary polynomial with constant coefficients of degree at most $2m-1$. Necessary and sufficient conditions are found for the existence of $W_2^k$-limit values of the function $u(x)$ on the boundary for arbitrary real $k$.