A note on limiting behavior of solutions of one-dimensional nonlinear stochastic wave equation with functionals of the white noise as initial data

Authors

  • Danijela Rajter-Ćirić Department for Mathematics and Computer Sciences, University of Novi Sad Author

Keywords:

Nonlinear stochastic wave equation, generalized stochastic processes, generalized solutions

Subjects:

35R60, 60H15

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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Published

2002-10-15

Issue

Vol. 54 No. 3–4 (2002): Vol. 54, Issue 3–4

Section

Articles

License

Copyright (c) 2002 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.