Growth of Sobolev norms for linear Schr{ö}dinger operators

Laurent Thomann

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arXiv · 2006.02674

Growth of Sobolev norms for linear Schr{ö}dinger operators

Laurent Thomann

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Abstract

We give an example of a linear, time-dependent, Schr{ö}dinger operator with optimal growth of Sobolev norms. The construction is explicit, and relies on a comprehensive study of the linear Lowest Landau Level equation with a time-dependent potential.

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Laurent Thomann. 2021-05-07. Growth of Sobolev norms for linear Schr{ö}dinger operators. https://arxiv.org/abs/2006.02674

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