Abstract
This paper introduces new classes of fractional and multifractional random fields arising from elliptic, parabolic and hyperbolic equations with random innovations derived from fractional Brownian motion. The case of stationary random initial conditions is also considered for parabolic and hyperbolic equations.
Citation
Nikolai Leonenko. Maria D. Ruiz-Medina. Murad S. Taqqu. "Fractional Elliptic, Hyperbolic and Parabolic Random Fields." Electron. J. Probab. 16 1134 - 1172, 2011. https://doi.org/10.1214/EJP.v16-891
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