Carleman and Observability Estimates for Stochastic Wave Equations

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dc.creatorZhang, Xu
dc.date2007-03-20
dc.date.accessioned2026-07-07T07:52:53Z
dc.date.available2026-07-07T07:52:53Z
dc.descriptionBased on a fundamental identity for stochastic hyperbolic-like operators, we derive in this paper a global Carleman estimate (with singular weight function) for stochastic wave equations. This leads to an observability estimate for stochastic wave equations with non-smooth lower order terms. Moreover, the observability constant is estimated by an explicit function of the norm of the involved coefficients in the equation.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0703599
dc.identifierhttp://arxiv.org/abs/math/0703599
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126047
dc.subjectAnalysis of PDEs
dc.subjectOptimization and Control
dc.subject35B45; 93B07
dc.titleCarleman and Observability Estimates for Stochastic Wave Equations
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