The 1-d stochastic wave equation driven by a fractional Brownian motion

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In this paper, we develop a Young integration theory in dimension 2 which will allow us to solve a non-linear one dimensional wave equation driven by an arbitrary signal whose rectangular increments satisfy some Hölder regularity conditions, for some Hölder exponent greater than 1/2. This result will be applied to the infinite dimensional fractional Brownian motion.
37 pages, 3 figures

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Probability, 60H15, 60G15, 35L05

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http://salesiana.dossiersoluciones.com/handle/123456789/111540

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604274
 http://arxiv.org/abs/math/0604274

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arXiv