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
April 18, 2002, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

Boundary control of processes described by hyperbolic equations

V. A. Il'in

Abstract: The question is studied of the existence of a minimal time interval $T_0$ and a boundary control at one endpoint $x=0$ or boundary controls at the two endpoints $x=0$ and $x=l$ which during the time $T_0$ transform the process described by the equation $k(x)[k(x)u_x(x,t)]_x-u_{tt}(x,t)=0$ (and, in particular, by the wave equation in the case $k(x)=1$), or the process described by the telegraph equation $u_{tt}(x,t)-u_{xx}(x,t)+C^2u(x,t)=0$, from an arbitrarily given initial state $\{u(x,t)=\phi(x),u_t(x,t)=\psi(x)\}$ to an arbitrarily given final state $\{u(x,T)=\phi_1(x)$, $u_t(x,T)=\psi_1(x)\}$.