科研之友
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摘要
We study spectral asymptotics for a large class of differential operators on an open subset of R-d with finite volume. This class includes the Dirichlet Laplacian, the fractional Laplacian, and also fractional differential operators with non-homogeneous symbols. Based on a sharp estimate for the sum of the eigenvalues we establish the first term of the semiclassical asymptotics. This generalizes Weyl's law for the Laplace operator.
- 出版日期2014-1
