On ground state of some non local Schrodinger operators

Kondratiev Y, Molchanov S, Pirogov S, Zhizhina E (2017)
APPLICABLE ANALYSIS 96(8): 1390-1400.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We study a ground state of some non-local Schrodinger operator associated with an evolution equation for the density of population in the stochastic contact model in continuum with inhomogeneous mortality rates. We found a new effect in this model, when even in the high-dimensional case the existence of a small positive perturbation of a special form (so-called, small paradise) implies the appearance of the ground state. We consider the problem in the Banach space of bounded continuous functions C-b(R-d) and in the Hilbert space L-2(R-d).
Erscheinungsjahr
Zeitschriftentitel
APPLICABLE ANALYSIS
Band
96
Ausgabe
8
Seite(n)
1390-1400
ISSN
eISSN
PUB-ID

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Kondratiev Y, Molchanov S, Pirogov S, Zhizhina E. On ground state of some non local Schrodinger operators. APPLICABLE ANALYSIS. 2017;96(8):1390-1400.
Kondratiev, Y., Molchanov, S., Pirogov, S., & Zhizhina, E. (2017). On ground state of some non local Schrodinger operators. APPLICABLE ANALYSIS, 96(8), 1390-1400. doi:10.1080/00036811.2016.1192138
Kondratiev, Y., Molchanov, S., Pirogov, S., and Zhizhina, E. (2017). On ground state of some non local Schrodinger operators. APPLICABLE ANALYSIS 96, 1390-1400.
Kondratiev, Y., et al., 2017. On ground state of some non local Schrodinger operators. APPLICABLE ANALYSIS, 96(8), p 1390-1400.
Y. Kondratiev, et al., “On ground state of some non local Schrodinger operators”, APPLICABLE ANALYSIS, vol. 96, 2017, pp. 1390-1400.
Kondratiev, Y., Molchanov, S., Pirogov, S., Zhizhina, E.: On ground state of some non local Schrodinger operators. APPLICABLE ANALYSIS. 96, 1390-1400 (2017).
Kondratiev, Yuri, Molchanov, Stanislav, Pirogov, Sergey, and Zhizhina, Elena. “On ground state of some non local Schrodinger operators”. APPLICABLE ANALYSIS 96.8 (2017): 1390-1400.