Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Yulia Karpeshina"'
Publikováno v:
Analysis as a Tool in Mathematical Physics ISBN: 9783030315306
Quasi-periodic solutions of a nonlinear polyharmonic equation for the case 4l > n + 1 in \( \mathbb R^n \) , n > 1, are studied. This includes Gross–Pitaevskii equation in dimension two (l = 1, n = 2). It is proven that there is an extensive “non
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99967bb847ed6ed2386bcef78d7b82c2
https://doi.org/10.1007/978-3-030-31531-3_22
https://doi.org/10.1007/978-3-030-31531-3_22
Autor:
Yulia Karpeshina, Roman Shterenberg
Publikováno v:
Memoirs of the American Mathematical Society. 258
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42a9d671525ae5185f6a591fc4e1cc51
https://doi.org/10.1090/memo/1239
https://doi.org/10.1090/memo/1239
Publikováno v:
Journal of Mathematical Physics. 62:053504
We prove the existence of ballistic transport for a Schrodinger operator with a generic quasi-periodic potential in any dimension d > 1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2be27277c4f8d87490c8a9aaa12d6d9d
https://doi.org/10.1063/5.0046856
https://doi.org/10.1063/5.0046856
Autor:
Yulia Karpeshina, Roman Shterenberg
The authors consider a Schrödinger operator $H=-\Delta +V(\vec x)$ in dimension two with a quasi-periodic potential $V(\vec x)$. They prove that the absolutely continuous spectrum of $H$ contains a semiaxis and there is a family of generalized eigen
Autor:
Yulia Karpeshina, Young-Ran Lee
Publikováno v:
Journal d'Analyse Mathématique. 120:1-84
We study the Schrodinger operator H = −Δ + V(x) in dimension two, V(x) being a limit-periodic potential. We prove that the spectrum of H contains a semiaxis, and there is a family of generalized eigenfunctions at every point of this semiaxis with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::794947153ef7a5c606810a546158ace3
https://doi.org/10.1007/s11854-013-0014-1
https://doi.org/10.1007/s11854-013-0014-1
Autor:
Young-Ran Lee, Yulia Karpeshina
Publikováno v:
Communications in Partial Differential Equations. 33:1711-1728
We consider a polyharmonic operator $H=(-\Delta)^l+V(x)$ in dimension two with $l\geq 6$, $l$ being an integer, and a limit-periodic potential $V(x)$. We prove that the spectrum contains a semiaxis of absolutely continuous spectrum.
Comment: 33
Comment: 33
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c3dc61f64285add60e56dc745249b85
https://doi.org/10.1080/03605300802289220
https://doi.org/10.1080/03605300802289220
Autor:
Young-Ran Lee, Yulia Karpeshina
Publikováno v:
Journal d'Analyse Mathématique. 102:225-310
We consider a polyharmonic operator $H=(-��)^l+V(x)$ in dimension two with $l\geq 6$ and a limit-periodic potential $V(x)$. We prove that the spectrum of $H$ contains a semiaxis and there is a family of generalized eigenfunctions at every point o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb97f3ffaf77cfaad05e77f865e7e00b
https://doi.org/10.1007/s11854-007-0022-0
https://doi.org/10.1007/s11854-007-0022-0
We prove the existence of ballistic transport for the Schr\"odinger operator with limit-periodic or quasi-periodic potential in dimension two. This is done under certain regularity assumptions on the potential which have been used in prior work to es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04ff968e28aaa24a3e15dc117f4613d1
http://arxiv.org/abs/1507.06523
http://arxiv.org/abs/1507.06523
Autor:
Yulia Karpeshina, Young-Ran Lee
Publikováno v:
Electronic Research Announcements of the American Mathematical Society. 12:113-120
This is an announcement of the following results. We consider a polyharmonic operator H = ( − Δ ) l + V ( x ) H=(-\Delta )^l+V(x) in dimension two with l ≥ 6 l\geq 6 and V ( x ) V(x) being a limit-periodic potential. We prove that the spectrum o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30dc47c9281f3332de4d899736525116
https://doi.org/10.1090/s1079-6762-06-00167-3
https://doi.org/10.1090/s1079-6762-06-00167-3
Autor:
Yulia Karpeshina
Publikováno v:
Communications in Mathematical Physics. 251:473-514
The goal is to investigate spectral properties of the operator H=(−i∇ +a(x))2+a0(x) in the two-dimensional situation, a(x), a0(x)) being periodic. We construct asymptotic formulae for Bloch eigenvalues and eigenfunctions in the high-energy region
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c245047e69ed3e5038603d8e52942301
https://doi.org/10.1007/s00220-004-1129-0
https://doi.org/10.1007/s00220-004-1129-0