On a Stochastic Plate Equation |
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Authors: | J. U. Kim |
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Affiliation: | (1) Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA kim@math.vt.edu, US |
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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. |
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Keywords: | . Plate equation Weak solution White noise Stochastic integral. AMS Classification. 35Q20 60H15 73K12. |
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