Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Noriyoshi, Fukaya"'
Publikováno v:
Mathematische Annalen.
We study traveling wave solutions for a nonlinear Schr\"odinger system with quadratic interaction. For the non mass resonance case, the system has no Galilean symmetry, which is of particular interest in this paper. We construct traveling wave soluti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0bde93b16ec3183b24a48b435868a3e
https://doi.org/10.1007/s00208-022-02555-w
https://doi.org/10.1007/s00208-022-02555-w
Autor:
Masayuki Hayashi, Noriyoshi Fukaya
Publikováno v:
Transactions of the American Mathematical Society. 374:1421-1447
We consider a nonlinear Schr\"odinger equation with double power nonlinearity \begin{align*} i\partial_t u+\Delta u-|u|^{p-1}u+|u|^{q-1}u=0,\quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end{align*} where $1
Comment: 24 pages, 3 figures. We newly
Comment: 24 pages, 3 figures. We newly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b5bad1daf385a6265adf4b383b6100b
https://doi.org/10.1090/tran/8269
https://doi.org/10.1090/tran/8269
Autor:
Noriyoshi Fukaya, Masayuki Hayashi
We consider the following nonlinear Schr\"{o}dinger equation with derivative: \begin{equation} iu_t =-u_{xx} -i |u|^{2}u_x -b|u|^4u , \quad (t,x) \in \mathbb{R}\times\mathbb{R}, \ b \in\mathbb{R}. \end{equation} If $b=0$, this equation is a gauge equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e33da0acfd37e69f0540b2ad48c08d9a
http://arxiv.org/abs/2102.13014
http://arxiv.org/abs/2102.13014
We study existence and stability properties of ground-state standing waves for two-dimensional nonlinear Schr\"odinger equation with a point interaction and a focusing power nonlinearity. The Schr\"odinger operator with a point interaction describes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59a9a585d9bc4651f0240b35fc7e76c9
Autor:
Noriyoshi, Fukaya, Masahito, Ohta
Publikováno v:
SUT journal of Mathematics = SUT journal of Mathematics. 54(2):131-143
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::1d1c50d28663327a6e8e13d80b20893c
http://id.nii.ac.jp/1275/00002432/
http://id.nii.ac.jp/1275/00002432/
Autor:
Noriyoshi Fukaya
We study uniqueness and nondegeneracy of ground states for stationary nonlinear Schr\"odinger equations with a focusing power-type nonlinearity and an attractive inverse-power potential. We refine the results of Shioji and Watanabe (2016) and apply i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1050fa45e607f477209160ce7f5dc82c
http://arxiv.org/abs/1903.10227
http://arxiv.org/abs/1903.10227
Autor:
Noriyoshi Fukaya
Publikováno v:
Kodai Math. J. 40, no. 3 (2017), 450-467
We study the orbital instability of solitary waves for a generalized derivative nonlinear Schr\"odinger equation. We give sufficient conditions for instability of a two-parameter family of solitary waves in a degenerate case.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a349bd2f6ea8eebd8176eaaa9e58ff39
https://projecteuclid.org/euclid.kmj/1509415227
https://projecteuclid.org/euclid.kmj/1509415227
Publikováno v:
Anal. PDE 10, no. 5 (2017), 1149-1167
We give a sufficient condition for global existence of the solutions to a generalized derivative nonlinear Schr\"{o}dinger equation (gDNLS) by a variational argument. The variational argument is applicable to a cubic derivative nonlinear Schr\"{o}din
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a47ea3c0962594843c0de8b859661e47
https://projecteuclid.org/euclid.apde/1510843496
https://projecteuclid.org/euclid.apde/1510843496