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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 8
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Articles

On ground state of some non local Schrödinger operators

Yuri KondratievFakultat fur Mathematik, Universitat Bielefeld, Bielefeld, Germany.View further author information
,
Stanislav MolchanovDepartment of Mathematics and Statistics, UNC Charlotte, USA.;University Higher School of Economics, Moscow, Russia.View further author information
,
Sergey PirogovInstitute for Information Transmission Problems,, Moscow, Russia.View further author information
&
Elena ZhizhinaInstitute for Information Transmission Problems,, Moscow, Russia.Correspondence[email protected]
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Pages 1390-1400 | Received 29 Jan 2016, Accepted 18 May 2016, Published online: 02 Jun 2016

References

  • Kondratiev YuG, Skorokhod A. On contact processes in continuum. Ininite Dimensional Anal. Quantum Probab. Relat. Top. 2006;9:187–198.
  • Kondratiev Yu, Kutoviy O, Pirogov S. Correlation functions and invariant measures in continuous contact model. Ininite Dimensional Anal. Quantum Probab. Relat. Top. 2008;11:231–258.
  • Coville J. On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators. J. Differ. Equ. 2010;249:2921–2953.
  • Berestycki H, Coville J, Vo H-H. On the definition and the properties of the principal eigenvalue of some nonlocal operators, 2015. Available from: http://arxiv.org/pdf/1512.06529v1.pdf.
  • Dunford N, Schwartz J. Linear operators. New York (NY): Wiley; 1988.
  • Reed M, Simon B. Methods of modern mathematical physics. Vol. 1, New York (NY): Academic Press; 1972.
  • Krein MG, Rutman MA. Linear operators leaving invariant a cone in a Banach space. Uspehi Matem. Nauk. 1948;3:3–95. Russian; English translation: Krein MG, Rutman MA, Linear operators leaving invariant a cone in a Banach space. Amer. Math. Soc. Translation. 1950;26.
  • Reed M, Simon B. Methods of modern mathematical physics. Vol. 4. New York (NY): Academic Press; 1978.

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