One-Dimensional Nonlinear Stochastic Wave Equation and Triviality Effect |
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Authors: | Danijela Rajter-Ćirić |
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Affiliation: | 1. Department for Mathematics and Informatics , University of Novi Sad , Serbia and Montenegro rajter@im.ns.ac.yu |
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Abstract: | Abstract The limiting behavior of solutions to stochastic wave equations with singularities represented by stochastic terms is considered. In cases when the initial data are certain functionals of the smoothed white noise process, it is proved that the triviality effect appears. At the end of the paper, a concrete application of the smoothed positive noise is given. |
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Keywords: | Generalized solutions Generalized stochastic processes Nonlinear stochastic wave equation |
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