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- W3025684511 abstract "Abstract We give decay estimates of the solution to the linear Schrödinger equation in dimension $$d ge 3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> with a small noise which is white in time and colored in space. As a consequence, we also obtain certain asymptotic behaviour of the solution. The proof relies on the bootstrapping argument used by Journé–Soffer–Sogge for decay of deterministic Schrödinger operators." @default.
- W3025684511 created "2020-05-21" @default.
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- W3025684511 date "2020-05-12" @default.
- W3025684511 modified "2023-10-14" @default.
- W3025684511 title "Decay of the stochastic linear Schrödinger equation in $$d ge 3$$ with small multiplicative noise" @default.
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- W3025684511 doi "https://doi.org/10.1007/s40072-020-00172-9" @default.
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