科研之友
微信
新浪微博
Facebook
分享链接
摘要
Fractional (Levy-type) operators are known to be spatially nonlocal. This becomes an issue if confronted with a priori imposed exterior Dirichlet boundary data. We address spectral properties of the prototype example of the Cauchy operator (-Delta)(1/2) in the interval D = (-1,1) subset of R, with a focus on functional shapes of first few eigenfunctions and their fall-off at the boundary of D. New high accuracy formulas are deduced for approximate eigenfunctions. We analyze how their shape reproduction fidelity is correlated with the evaluation finesse of the corresponding eigenvalues.
- 出版日期2015-12
