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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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.