Periodic and invariant measures for stochastic wave equations

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dc.contributor.authorKim, Jong Uhn
dc.date.accessioned2021-04-05T15:41:47Z
dc.date.available2021-04-05T15:41:47Z
dc.date.issued2004-01-02
dc.description.abstractWe establish the existence of periodic and invariant measures for a semilinear wave equation with random noise. These are counterparts of time-periodic and stationary solutions of a deterministic equation. The key element in our analysis is to prove that the family of probability distributions of a solution is tight.
dc.description.departmentMathematics
dc.formatText
dc.format.extent30 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKim, J. U. (2004). Periodic and invariant measures for stochastic wave equations. <i>Electronic Journal of Differential Equations, 2004</i>(5), pp. 1-30.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13324
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectWave equation
dc.subjectBrownian motion
dc.subjectPeriodic measure
dc.subjectInvariant measure
dc.subjectProbability distribution
dc.subjectTightness
dc.titlePeriodic and invariant measures for stochastic wave equations
dc.typeArticle

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