Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Soonsik Kwon"'
Autor:
Soonsik Kwon, Shuanglin Shao
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 51,, Pp 1-5 (2015)
We consider the global dynamics of the defocusing generalized KdV equation $$ \partial_t u + \partial_x^3 u = \partial_x(|u|^{p-1}u). $$ We use Tao's theorem [5] that the energy moves faster than the mass to prove a moment type dispersion estima
Externí odkaz:
https://doaj.org/article/8279dc3f575843ea9150089b640e7d4b
Autor:
Soonsik Kwon
Publikováno v:
Electronic Journal of Differential Equations, Vol 2008, Iss 01, Pp 1-15 (2008)
We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$displaylines{ partial_t u - partial_x^5u + c_1partial_x^3(u^3) + c_2upartial_x upartial_x^2 u + c_3uupartial_x^3 u =0cr u(x,0)= u_0(x) }$$ where $
Externí odkaz:
https://doaj.org/article/107e1bc6de4d48c09d2ccbfdd8900005
Autor:
Kihyun Kim, Soonsik Kwon
Publikováno v:
Annals of PDE. 9
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::489c15d9cab4b42d5eafdea7f00e459e
https://doi.org/10.1007/s40818-023-00147-8
https://doi.org/10.1007/s40818-023-00147-8
Autor:
Soonsik Kwon, Ki-Hyun Kim
Publikováno v:
Transactions of the American Mathematical Society. 372:5011-5067
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06034c62823d997eef5e4852b7b853d5
https://doi.org/10.1090/tran/7831
https://doi.org/10.1090/tran/7831
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 125:283-320
We construct an extremizer for the Lieb–Thirring energy inequality (except the endpoint cases) developing the concentration-compactness technique for operator valued inequality in the formulation of the profile decomposition. Moreover, we investiga
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d743e592f813cad5b2876c30a8df11e
https://doi.org/10.1016/j.matpur.2018.12.003
https://doi.org/10.1016/j.matpur.2018.12.003
Publikováno v:
Korean Journal of Environment and Ecology. 33:86-106
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63e486cd2a504349ec27341ff5d185d8
https://doi.org/10.13047/kjee.2019.33.1.86
https://doi.org/10.13047/kjee.2019.33.1.86
Autor:
Soonsik Kwon, Yifei Wu
Publikováno v:
Journal d'Analyse Mathématique. 135:473-486
In this paper, we show the orbital stability of solitons arising in the cubic derivative nonlinear Schrodinger equations. We consider the zero mass case that is not covered by earlier works. As this case enjoys L2 scaling invariance, we expect orbita
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c175344bcfb5ae189b0a8f1375e78ec0
https://doi.org/10.1007/s11854-018-0038-7
https://doi.org/10.1007/s11854-018-0038-7
Autor:
Soonsik Kwon, Sun-Ho Choi
Publikováno v:
Nonlinearity. 29:2755-2774
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b69dc773a43caebff5aceab602f27fca
https://doi.org/10.1088/0951-7715/29/9/2755
https://doi.org/10.1088/0951-7715/29/9/2755
Autor:
Kihyun Kim, Soonsik Kwon
We consider the self-dual Chern-Simons-Schr\"odinger equation (CSS). CSS is $L^{2}$-critical, admits solitons, and has the pseudoconformal symmetry. In this work, we consider pseudoconformal blow-up solutions under $m$-equivariance, $m\geq1$. Our res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83d1affeb0b238529133cfa15cd91bfb
