Invariant measures for the tochastic von Karman plate equation

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Date

2005

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Siam Publications

Abstract

We prove the existence of an invariant measure for the von Karman plate equation with random noise. The nonlinear term which symbolizes the von Karman equation inhibits the standard procedure for the existence of an invariant measure. We propose a technically different approach to handle such intricate nonlinear equations.

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Keywords

von karman plate equation, brownian motion, stopping time, existence of, a solution, invariant measure, probability distribution, tightness, evolution-equations, mathematics, applied

Citation

Kim, J. U., "Invariant measures for the tochastic von Karman plate equation," SIAM J. Math. Anal., 36(5), 1689-1703, (2005). DOI: 10.1137/s0036141003438854

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http://hdl.handle.net/10919/48143

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Scholarly Works, Mathematics