On ground state of some non local Schrödinger operators

DOI10.1080/00036811.2016.1192138zbMath1422.47009arXiv1601.01136OpenAlexW2228370830WikidataQ58145099 ScholiaQ58145099MaRDI QIDQ5269416

Sergey Pirogov, Yuri G. Kondratiev, Stanislav Alekseevich Molchanov, Elena A. Zhizhina

Publication date: 15 June 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01136

zbMATH Keywords

spectral radiuscompact operatordiscrete spectrumcontact modeldispersal kernel

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) Linear differential equations in abstract spaces (34G10) Transition functions, generators and resolvents (60J35)

Related Items (16)

On the spectrum of Schrödinger-type operators on two dimensional lattices ⋮ On the discrete spectra of Schrödinger-type operators on one dimensional lattices ⋮ Ground states for nonlocal Schrödinger type operators on locally compact abelian groups ⋮ On the spectrum of convolution operator with a potential ⋮ Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel ⋮ On the number and locations of eigenvalues of the discrete Schrödinger operator on a lattice ⋮ On the homogenization of nonlocal convolution type operators ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ On the number and location of eigenvalues of the two particle Schrödinger operator on a lattice ⋮ Stability and instability of steady states for a branching random walk ⋮ Bound states of Schrödinger-type operators on one and two dimensional lattices ⋮ Principal eigenvalues of a class of nonlinear integro-differential operators ⋮ On the behaviour at infinity of solutions to nonlocal parabolic type problems ⋮ Heavy-tailed branching random walks on multidimensional lattices. A moment approach ⋮ Resolvent bounds for jump generators ⋮ Spectral analysis of non-local Schrödinger operators

Cites Work

• On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
• CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL
• ON CONTACT PROCESSES IN CONTINUUM

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