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arXiv · 2006.01468

Growth of Sobolev norms for coupled Lowest Landau Level equations

Valentin Schwinte·Laurent Thomann
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Abstract

We study coupled systems of nonlinear lowest Landau level equations, for which we prove global existence results with polynomial bounds on the possible growth of Sobolev norms of the solutions. We also exhibit explicit unbounded trajectories which show that these bounds are optimal.

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Valentin Schwinte, Laurent Thomann. 2020-06-02. Growth of Sobolev norms for coupled Lowest Landau Level equations. https://doi.org/10.2140/paa.2021.3.189

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