Newtons method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion
We consider nonlinear stochastic wave equations driven by one-dimensional white noise with respect to time. The existence of solutions is proved by means of Picard iterations. Next we apply Newton's method. Moreover, a second-order convergence in a probabilistic sense is demonstrated.
| Κύριοι συγγραφείς: | , |
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| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
AIMS Press
2017-01-01
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| Σειρά: | Mathematical Biosciences and Engineering |
| Θέματα: | |
| Διαθέσιμο Online: | https://www.aimspress.com/article/doi/10.3934/mbe.2017015 |