Spectral analysis of non-local Schrödinger operators

Kondratiev Y, Molchanov S, Vainberg B (2017)
JOURNAL OF FUNCTIONAL ANALYSIS 273(3): 1020-1048.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kondratiev, YuriUniBi; Molchanov, S.; Vainberg, B.
Abstract / Bemerkung
We study spectral properties of convolution operators L and their perturbations H = 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. (C) 2017 Elsevier Inc. All rights reserved.
Stichworte
Random walk; Spectrum; Front propagation; Population
Erscheinungsjahr
2017
Zeitschriftentitel
JOURNAL OF FUNCTIONAL ANALYSIS
Band
273
Ausgabe
3
Seite(n)
1020-1048
ISSN
0022-1236
eISSN
1096-0783
Page URI
https://pub.uni-bielefeld.de/record/2912332

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Kondratiev Y, Molchanov S, Vainberg B. Spectral analysis of non-local Schrödinger operators. JOURNAL OF FUNCTIONAL ANALYSIS. 2017;273(3):1020-1048.
Kondratiev, Y., Molchanov, S., & Vainberg, B. (2017). Spectral analysis of non-local Schrödinger operators. JOURNAL OF FUNCTIONAL ANALYSIS, 273(3), 1020-1048. doi:10.1016/j.jfa.2017.04.006
Kondratiev, Y., Molchanov, S., and Vainberg, B. (2017). Spectral analysis of non-local Schrödinger operators. JOURNAL OF FUNCTIONAL ANALYSIS 273, 1020-1048.
Kondratiev, Y., Molchanov, S., & Vainberg, B., 2017. Spectral analysis of non-local Schrödinger operators. JOURNAL OF FUNCTIONAL ANALYSIS, 273(3), p 1020-1048.
Y. Kondratiev, S. Molchanov, and B. Vainberg, “Spectral analysis of non-local Schrödinger operators”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 273, 2017, pp. 1020-1048.
Kondratiev, Y., Molchanov, S., Vainberg, B.: Spectral analysis of non-local Schrödinger operators. JOURNAL OF FUNCTIONAL ANALYSIS. 273, 1020-1048 (2017).
Kondratiev, Yuri, Molchanov, S., and Vainberg, B. “Spectral analysis of non-local Schrödinger operators”. JOURNAL OF FUNCTIONAL ANALYSIS 273.3 (2017): 1020-1048.