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dc.contributor.authorHu, Yaozhong
dc.date.accessioned2005-04-17T15:39:39Z
dc.date.available2005-04-17T15:39:39Z
dc.date.issued2002-02
dc.identifier.citationHu, YZ. Chaos expansion of heat equations with white noise potentials. POTENTIAL ANALYSIS. Feb 2002. 16(1). 45-66
dc.identifier.otherISI:000173831400003
dc.identifier.urihttp://hdl.handle.net/1808/294
dc.description.abstractThe asymptotic behavior as t --> infinity of the solution to the following stochastic heat equations [GRAPHICS] is investigated, where w is a space-time white noise or a space white noise. The use of lozenge means that the stochastic integral of 10 (Skorohod) type is considered. When d = 1, the exact L-2 Lyapunov exponents of the solution are studied. When the noise is space white and when d < 4 it is shown that the solution is in some "flat" L-2 distribution spaces. The Lyapunov exponents of the solution in these spaces are also estimated. The exact rate of convergence of the solution by its first finite chaos terms are also obtained.
dc.format.extent289360 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherKLUWER ACADEMIC PUBL
dc.subjectChaos expansion
dc.subjectSpace-time white noise potential
dc.subjectSpace white noise potential
dc.subjectStochastic heat equation
dc.subjectLyapunov exponent
dc.subjectMittag-leffler functions
dc.subjectInite chaos approximation
dc.subjectExact rate of convergence
dc.titleChaos expansion of heat equations with white noise potentials
dc.typePreprint
kusw.kuauthorHu, Yaozhong
dc.identifier.doi10.1023/A:1024878703232
dc.rights.accessrightsopenAccess


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