AI 中文总结
作者与Luca Gennaioli提出半拉普拉斯算子莱布尼茨交换子的逐点表示,简化统一相关非线性估计,给出二维临界耗散SQG方程整体正则性的简短证明。
AI 中文摘要
我们给出二维临界耗散SQG方程整体正则性的简短证明,该论证基于作者与Luca Gennaioli近期得到的半拉普拉斯算子的莱布尼茨交换子逐点表示,此表示简化并统一了此前最大值原理证明中所用的非线性估计。
英文摘要
We give a short proof of global regularity for the critical dissipative SQG equation in two dimensions. The argument is based on a pointwise representation of the Leibniz commutator for the half-Laplacian, recently obtained by the author with Luca Gennaioli, which simplifies and unifies the nonlinear estimates used in previous maximum principle proofs.
Comments9 pages