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- W2043106892 abstract "The purpose of this note is to investigate the high-frequency behavior of solutions to linear Schrodinger equations. More precisely, Bourgain (1997) and Anantharaman and Macia (2011) proved that any weak-∗ limit of the square density of solutions to the time-dependent homogeneous Schrodinger equation is absolutely continuous with respect to the Lebesgue measure on ℝ×Td. The contribution of this article is that the same result automatically holds for nonhomogeneous Schrodinger equations, which allows for abstract potential type perturbations of the Laplace operator." @default.
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- W2043106892 date "2013-11-18" @default.
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- W2043106892 title "Semiclassical measures for inhomogeneous Schrödinger equations on tori" @default.
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- W2043106892 doi "https://doi.org/10.2140/apde.2013.6.1421" @default.
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