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Theory of Probability and Mathematical Statistics
Theory of Probability and Mathematical Statistics
ISSN 1547-7363(online) ISSN 0094-9000(print)

 

The heat equation with random initial conditions from Orlicz spaces


Authors: Yu. V. Kozachenko and K. I. Veresh
Translated by: Oleg Klesov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 80 (2009).
Journal: Theor. Probability and Math. Statist. 80 (2010), 71-84
MSC (2000): Primary 60G60, 60G17
Published electronically: August 19, 2010
MathSciNet review: 2541953
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Abstract: Conditions for justification of the Fourier method for parabolic equations with random initial conditions from Orlicz spaces of random variables are obtained. Bounds for the distribution of the supremum of solutions of such equations are found.


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Additional Information

Yu. V. Kozachenko
Affiliation: Department of Probability Theory and Mathematical Statistics, Faculty for Mechanics and Mathematics, National Taras Shevchenko University, Academician Glushkov Avenue, 2, Kiev 03127, Ukraine
Email: yvk@univ.kiev.ua

K. I. Veresh
Affiliation: Department of Probability Theory and Mathematical Statistics, Faculty for Mechanics and Mathematics, National Taras Shevchenko University, Academician Glushkov Avenue, 2, Kiev 03127, Ukraine
Email: yvk@univ.kiev.ua

DOI: http://dx.doi.org/10.1090/S0094-9000-2010-00795-2
PII: S 0094-9000(2010)00795-2
Keywords: Parabolic equations, Orlicz spaces
Received by editor(s): February 2, 2009
Published electronically: August 19, 2010
Article copyright: © Copyright 2010 American Mathematical Society