Virginia TechKim, J. U.2014-05-282014-05-282000-08Kim, J. U., "On a stochastic hyperbolic system in linear elasticity," SIAM J. Math. Anal., 32(2), 304-322, (2000). DOI: 10.1137/s00361410993503770036-1410http://hdl.handle.net/10919/48142In this paper we discuss the Cauchy problem for linear elasticity with a space-time white noise forcing term. We show that the solution can be represented by a formula analogous to the Riesz formula for solutions of a wave equation. The solution is a generalized stochastic process and is obtained as the limit of a sequence of ordinary stochastic processes. Our basic tool is the Hilbert space method combined with geometric properties of solutions inherent with a hyperbolic system.en-USIn Copyrightgeneralized stochastic processgaussian processwhite noisehyperbolic systemwave-equationwhite noisedimensionsmathematics, appliedArticle - Refereedhttp://epubs.siam.org/doi/abs/10.1137/S0036141099350377https://doi.org/10.1137/s0036141099350377