On a stochastic wave equation with unilateral boundary conditions

Kim, Jong

doi:10.1090/S0002-9947-07-04143-8

On a stochastic wave equation with unilateral boundary conditions
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by Jong Uhn Kim PDF

Trans. Amer. Math. Soc. 360 (2008), 575-607 Request permission

Abstract:

We prove the existence and uniqueness of solutions to the initial boundary value problem for a one-dimensional wave equation with unilateral boundary conditions and random noise. We also establish the existence of an invariant measure.

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