| A note on limiting behavior of solutions of one-dimensional nonlinear stochastic wave equation with functionals of the white noise as initial data |
| Danijela Rajter-Ćirić |
Abstract The limitting behaviour of solutions to stochastic wave equations with singularities represented by stochastic terms is considered. In cases when the initial data are the white noise process or its functionals it is proved that the triviality effect appears.
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Keywords: Nonlinear stochastic wave equation, generalized stochastic processes, generalized solutions. |
MSC: 35R60, 60H15 |
Pages: 179--186 |
Volume 54 , Issue 3$-$4 , 2002 |
