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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

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Yuri Kondratiev, Stanislav Molchanov, Andrey Piatnitski & Elena Zhizhina. (2018) Resolvent bounds for jump generators. Applicable Analysis 97:3, pages 323-336.
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Articles from other publishers (17)

A. Piatnitski, V. Sloushch, T. Suslina & E. Zhizhina. (2024) On the Homogenization of Nonlocal Convolution Type Operators. Russian Journal of Mathematical Physics 31:1, pages 137-145.
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P. Sergey & Z. Elena. (2024) Persistence in Perturbed Contact Models in Continuum. Markov Processes And Related Fields:2023 №4(29), pages 533-548.
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D. I. Borisov, A. L. Piatnitski & E. A. Zhizhina. (2023) Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure. Mathematics 11:19, pages 4042.
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A. Piatnitski, V. Sloushch, T. Suslina & E. Zhizhina. (2023) On operator estimates in homogenization of nonlocal operators of convolution type. Journal of Differential Equations 352, pages 153-188.
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M. O. Akhmadova, I. U. Alladustova & S. N. Lakaev. (2023) On the Number and Locations of Eigenvalues of the Discrete Schrödinger Operator on a Lattice. Lobachevskii Journal of Mathematics 44:3, pages 1091-1099.
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Tatiana Aleksandrovna Suslina. (2023) Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients. Russian Mathematical Surveys 78:6, pages 1023-1154.
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Tatiana Aleksandrovna Suslina. (2023) Теоретико-операторный подход к усреднению уравнений типа Шрeдингера с периодическими коэффициентамиOperator-theoretic approach to averaging Schrödinger-type equations with periodic coefficients. Успехи математических наук Uspekhi Matematicheskikh Nauk 78:6(474), pages 47-178.
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D.I. Borisov, A.L. Piatnitski & E.A. Zhizhina. (2023) On the spectrum of convolution operator with a potential. Journal of Mathematical Analysis and Applications 517:1, pages 126568.
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S. N. Lakaev & Sh. I. Khamidov. (2023) On the Number and Location of Eigenvalues of the Two Particle Schrödinger Operator on a Lattice. Lobachevskii Journal of Mathematics 43:12, pages 3541-3551.
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S. N. Lakaev, A. T. Boltaev & F. M. Almuratov. (2022) On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices. Lobachevskii Journal of Mathematics 43:3, pages 770-783.
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Yuri G. Kondratiev & José Luís da Silva. (2021) Random Times for Markov Processes with Killing. Fractal and Fractional 5:4, pages 254.
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Shokhrukh Yu. Kholmatov, Saidakhmat N. Lakaev & Firdavsjon M. Almuratov. (2021) Bound states of Schrödinger-type operators on one and two dimensional lattices. Journal of Mathematical Analysis and Applications 503:1, pages 125280.
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Anastasiya Rytova & Elena Yarovaya. (2020) Heavy-tailed branching random walks on multidimensional lattices. A moment approach. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 151:3, pages 971-992.
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Yaqin Feng, Stanislav Molchanov & Elena Yarovaya. (2020) Stability and Instability of Steady States for a Branching Random Walk. Methodology and Computing in Applied Probability 23:1, pages 207-218.
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Anup Biswas. (2020) Principal eigenvalues of a class of nonlinear integro-differential operators. Journal of Differential Equations 268:9, pages 5257-5282.
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Alexander Grigor'yan, Yuri Kondratiev, Andrey Piatnitski & Elena Zhizhina. (2018) Pointwise estimates for heat kernels of convolution-type operators. Proceedings of the London Mathematical Society 117:4, pages 849-880.
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Yu. Kondratiev, S. Molchanov & B. Vainberg. (2017) Spectral analysis of non-local Schrödinger operators. Journal of Functional Analysis 273:3, pages 1020-1048.
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