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Random attractor for the reaction-diffusion equation perturbed by a stochastic càdlàg process
Author(s):
O.
V.
Kapustyan;
J.
Valero;
O.
V.
Pereguda
Translated by:
S. Kvasko
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 73
(2005).
Journal:
Theor. Probability and Math. Statist.
No. 73
(2006),
57-69.
MSC (2000):
Primary 34F05, 60H10
Posted:
January 17, 2007
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Additional information
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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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
DOI:
10.1090/S0094-9000-07-00681-3
PII:
S 0094-9000(07)00681-3
Received by editor(s):
24/AUG/2004
Posted:
January 17, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
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