Fractional Elliptic, Hyperbolic and Parabolic Random Fields

Nikolai Leonenko (Cardiff University)
Maria D. Ruiz-Medina (University of Granada)
Murad S. Taqqu (Boston University)

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.

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Pages: 1134-1172

Publication Date: June 5, 2011

DOI: 10.1214/EJP.v16-891

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