Random attractor for the reaction-diffusion equation perturbed by a stochastic càdlàg process
Authors:
O. V. Kapustyan, J. Valero and O. V. Pereguda
Translated by:
S. Kvasko
Journal:
Theor. Probability and Math. Statist. 73 (2006), 57-69
MSC (2000):
Primary 34F05, 60H10
DOI:
https://doi.org/10.1090/S0094-9000-07-00681-3
Published electronically:
January 17, 2007
MathSciNet review:
2213841
Full-text PDF Free Access
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Abstract: We study a stochastically perturbed reaction-diffusion equation by using the methods of the theory of stochastic attractors. It is proved that solutions of the equation form a multivalued random dynamic system for which there exists a random attractor in the phase space.
References
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References
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Additional Information
O. V. Kapustyan
Affiliation:
Department of Integral and Differential Equations, Faculty for Mathematics and Mechanics, National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email:
alexkap@univ.kiev.ua
J. Valero
Affiliation:
Universidad Miguel Hernandez, Centro de Investigation Operativa, Avda. del ferrocarril s/n 03202 Elche (Alicante), Spain
Email:
jvalero@umh.es
O. V. Pereguda
Affiliation:
Department of Integral and Differential Equations, Faculty for Mathematics and Mechanics, National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email:
perol@ua.fm
Received by editor(s):
August 24, 2004
Published electronically:
January 17, 2007
Article copyright:
© Copyright 2007
American Mathematical Society
