论文标题

耦合最低Landau级方程的Sobolev规范的增长

Growth of Sobolev norms for coupled Lowest Landau Level equations

论文作者

Schwinte, Valentin, Thomann, Laurent

论文摘要

我们研究了非线性最低Landau级方程的耦合系统,为此,我们证明了全球存在的结果,以多项式界限可能会增长解决方案的Sobolev规范。我们还表现出明确的无界轨迹,这些轨迹表明这些边界是最佳的。

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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