Invariant measures for stochastic partial differential equations in unbounded domains (Q2707008)
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| English | Invariant measures for stochastic partial differential equations in unbounded domains |
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Invariant measures for stochastic partial differential equations in unbounded domains (English)
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16 October 2001
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stochastic parabolic equations
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invariant measures
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A parabolic partial differential equation with stochastic perturbations with coefficients not depending on the gradient of the unknown functions is analyzed. It allows to work with so called ``mild solutions'' and to use specific techniques both to prove the existence of a solution and of an invariant measure. Three theorems and several lemmas are proved. It is recommended to those working with stochastic partial differential equations and their analytic solution with respect to \(x\in R\).
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