2·î3Æü(²Ð)  15:00 -- 16:00  Vladimir G. Romanov
                             (Sobolev Institute of Mathematics, Russia)
              ``On ill-posed Cauchy problems for hyperbolic equations''

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(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.