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On a Stochastic Plate Equation
Authors:J. U. Kim
Affiliation:(1) Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA kim@math.vt.edu, US
Abstract:In this paper we discuss an initial—boundary value problem for an elastic plate driven by a space-time white noise. The existence and uniqueness of a weak solution is established. We use a specialized PDE method based upon the results for the deterministic equation. Accepted 2 February 2001. Online publication 4 May 2001.
Keywords:. Plate equation   Weak solution   White noise   Stochastic integral. AMS Classification. 35Q20   60H15   73K12.
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