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On a stochastic wave equation with unilateral boundary conditions |
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| Authors: | Jong Uhn Kim |
| Institution: | Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0123 |
| 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. |
| Keywords: | Unilateral boundary conditions Brownian motion existence of a solution pathwise uniqueness invariant measure probability distribution |
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