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https://hdl.handle.net/2445/23388| Title: | Approximation and support theorem for a wave equation in two space dimensions |
| Author: | Millet, Annie Sanz-Solé, Marta |
| Keywords: | Anàlisi estocàstica Teoria de l'aproximació Equacions diferencials estocàstiques Stochastic analysis Stochastic differential equations Approximation theory |
| Issue Date: | 2000 |
| Publisher: | Bernoulli Society for Mathematical Statistics and Probability |
| Abstract: | We prove a characterization of the support of the law of the solution for a stochastic wave equation with two-dimensional space variable, driven by a noise white in time and correlated in space. The result is a consequence of an approximation theorem, in the convergence of probability, for equations obtained by smoothing the random noise. For some particular classes of coefficients, approximation in the Lp-norm for p¿1 is also proved. |
| Note: | Reproducció del document publicat a: http://projecteuclid.org/euclid.bj/1081282694 |
| It is part of: | Bernoulli, 2000, vol. 6, núm. 5, p. 887-915 |
| URI: | https://hdl.handle.net/2445/23388 |
| ISSN: | 1350-7265 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 169333.pdf | 369.64 kB | Adobe PDF | View/Open |
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