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• W3129980228 abstract "We study the global-in-time dynamics for a stochastic semilinear wave equation with cubic defocusing nonlinearity and additive noise, posed on the <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-dimensional torus. The noise is taken to be slightly more regular than space-time white noise. In this setting, we show existence and uniqueness of an invariant measure for the Markov semigroup generated by the flow over an appropriately chosen Banach space. This extends a result of the second author [Comm. Math. Phys. 377 (2020), pp. 1311–1347] to a situation where the invariant measure is not explicitly known." @default.
• W3129980228 created "2021-03-01" @default.
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• W3129980228 date "2023-10-06" @default.
• W3129980228 modified "2023-10-13" @default.
• W3129980228 title "On the unique ergodicity for a class of 2 dimensional stochastic wave equations" @default.
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• W3129980228 doi "https://doi.org/10.1090/tran/8973" @default.
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