Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications
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DOI：
10.1093/imrn/rnw098
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发表时间：
2015-10
期刊：
影响因子：
--
通讯作者：
P. Constantin;M. Ignatova
中科院分区：
文献类型：
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作者：
P. Constantin;M. Ignatova
证明了有界区域上狄利克雷分数阶拉普拉斯算子的非线性下界和对易子估计。其应用包括非局部耗散线性漂移扩散方程的界和临界表面拟地转方程弱解的整体存在性。
We prove nonlinear lower bounds and commutator estimates for the Dirichlet fractional Laplacian in bounded domains. The applications include bounds for linear drift-diffusion equations with nonlocal dissipation and global existence of weak solutions of critical surface quasi-geostrophic equations.