Theory of Probability and Mathematical Statistics

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ISSN 1547-7363(e) ISSN 0094-9000(p)

Justification of the Fourier method for hyperbolic equations with random initial conditions

Author(s): Yu. V. Kozachenko; G. I. Slivka
Translated by: Oleg Klesov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 69 (2003).
Journal: Theor. Probability and Math. Statist. No. 69 (2004), 67-83.
MSC (2000): Primary 60G35; Secondary 35L20
Posted: February 8, 2005
MathSciNet review: 2110906
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Abstract | References | Similar articles | Additional information

Abstract: Conditions for the existence of a twice differentiable solution of a hyperbolic type partial differential equation with random strongly $\operatorname{Sub}_{\varphi}(\Omega)$ initial conditions are found in the multidimensional case.

References:

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