Abstract
Let $0<\alpha<2$ and $X_t$ be the isotropic $\alpha$-stable Lévy process. We define scattering length $\Gamma(v)$ of a positive potential $v$. We use the scattering length to find estimates for the first eigenvalue of the Schrödinger operator of the “Neumann” fractional Laplacian in a cube with a potential $v$.
Citation
Bartłomiej Siudeja. "Scattering length for stable processes." Illinois J. Math. 52 (2) 667 - 680, Summer 2008. https://doi.org/10.1215/ijm/1248355357
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