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Fractional Elliptic, Hyperbolic and Parabolic Random Fields

   
@article{EJP891,
	author = {Nikolai Leonenko and Maria D. Ruiz-Medina and Murad S. Taqqu},
	title = {Fractional Elliptic, Hyperbolic and Parabolic Random Fields},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {16},
	year = {2011},
	keywords = {Cylindrical fractional Brownian, motion; elliptic, hyperbolic, parabolic random fields; fractional Bessel potential spaces; fractional Holder spaces; fractional random fields; multifractional random fields; spectral representation},
	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.},
	pages = {no. 40, 1134-1172},
	issn = {1083-6489},
	doi = {10.1214/EJP.v16-891},    
        url = {http://ejp.ejpecp.org/article/view/891}}