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arXiv · 1603.01626

Spectral analysis of non-local Schr\"odinger operators

Yu. Kondratiev·S. Molchanov·B. Vainberg
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Abstract

We study spectral properties of convolution operators $\mathcal L$ and their perturbations $H=\mathcal L+v(x)$ by compactly supported potentials. Results are applied to determine the front propagation of a population density governed by operator $H$ with a compactly supported initial density provided that $H$ has positive eigenvalues. If there is no positive spectrum, then the stabilization of the population density is proved.

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Yu. Kondratiev, S. Molchanov, B. Vainberg. 2016-03-04. Spectral analysis of non-local Schr\"odinger operators. https://arxiv.org/abs/1603.01626

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