Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Seungly Oh"'
Autor:
Seungly Oh, Atanas G. Stefanov
Publikováno v:
Journal of Hyperbolic Differential Equations. 18:899-930
For generalized Korteweg–De Vries (KdV) models with polynomial nonlinearity, we establish a local smoothing property in [Formula: see text] for [Formula: see text]. Such smoothing effect persists globally, provided that the [Formula: see text] norm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1300c4bfe30ba053e84688f40de57c74
https://doi.org/10.1142/s0219891621500260
https://doi.org/10.1142/s0219891621500260
Autor:
Seungly Oh, Xinfeng Wu
We consider various versions of fractional Leibniz rules (also known as Kato-Ponce inequalities) with polynomial weights $\langle x\rangle^a = (1+|x|^2)^{a/2}$ for $a\ge 0$. We show that the weighted Kato-Ponce estimate with the inhomogeneous Bessel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::005fd3f0c7ce258c736b90310aa6208a
http://arxiv.org/abs/2108.10412
http://arxiv.org/abs/2108.10412
Publikováno v:
Nonlinear Dispersive Waves and Fluids. :111-136
In this article, we examine $L^2$ well-posedness and stabilization property of the dispersion-generalized Benjamin-Ono equation with periodic boundary conditions. The main ingredient of our proof is a development of dissipation-normalized Bourgain sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8df9abc1f4b713d8207362c16afea5ce
https://doi.org/10.1090/conm/725/14548
https://doi.org/10.1090/conm/725/14548
For initial data in Sobolev spaces H s ( T ) , 1 2 s ⩽ 1 , the solution to the Cauchy problem for the Benjamin-Ono equation on the circle is shown to grow at most polynomially in time at a rate ( 1 + t ) 3 ( s − 1 2 ) + ϵ , 0 ϵ ≪ 1 . The key
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d09425c10460ce342380c7bdeee40b9a
Autor:
Loukas Grafakos, Seungly Oh
Publikováno v:
Communications in Partial Differential Equations. 39:1128-1157
In this article we develop a simplistic approach to revisit the classical Kato-Ponce inequality, which is also known as 'fractional Leibniz rule.' As a consequence, we derive the validity of this inequality even in quasi-Banach spaces $L^p$ for $p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2cfff506a690cd7b745f5b54a4fd3c9
https://doi.org/10.1080/03605302.2013.822885
https://doi.org/10.1080/03605302.2013.822885
Autor:
Seungly Oh, Atanas Stefanov
Publikováno v:
Journal of the London Mathematical Society. 86:499-519
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4184b62efa081846ab3b9735f4f7cfd
https://doi.org/10.1112/jlms/jds016
https://doi.org/10.1112/jlms/jds016
Autor:
Atanas Stefanov, Seungly Oh
We prove that the "good" Boussinesq model with the periodic boundary condition is locally well-posed in the space $H^{s}\times H^{s-2}$ for $s > -3/8$. In the proof, we employ the normal form approach, which allows us to explicitly extract the roughe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::464f07548347b14ccbdf89aef4909d1c
http://arxiv.org/abs/1201.1942
http://arxiv.org/abs/1201.1942