2·î3Æü(²Ð) 15:00 -- 16:00 Vladimir G. Romanov (Sobolev Institute of Mathematics, Russia) ``On ill-posed Cauchy problems for hyperbolic equations'' ¡ã¸¦µæÈ¯É½Í׻ݡä (1)Vladimir G. Romanov ¶µ¼ø Let $\Omega$ be a compact domain in {R}^n (n \ge2), with a smooth boundary \partial\Omega and T>0. In a domain D=\Omega * [-T,T], we consider a second-order hyperbolic equation with variable coefficients. We state stability estimates for the solution to the Cauchy problem with data given on S := \partial\Omega * [-T,T]. A similar problem is discussed for the case of the elasticity equations.