Probabilistic local wellposedness of 1D quintic NLS below L2 (R)
We consider the Cauchy problem of the nonlinear Schrödinger equation i∂ t u+∂ x 2 u±u
5= 0 on the real line, which is L 2-critical. We prove the local well-posedness of the initial …
5= 0 on the real line, which is L 2-critical. We prove the local well-posedness of the initial …
Probabilistic Radial Strichartz Estimates and Its Application
G Hwang - Funkcialaj Ekvacioj, 2024 - jstage.jst.go.jp
In this paper, we consider the Cauchy problem for the linear dispersive equations. We
establish the probabilistic radial Strichartz estimates for a randomization preserving the …
establish the probabilistic radial Strichartz estimates for a randomization preserving the …
[HTML][HTML] Probabilistic well-posedness of the mass-critical NLS with radial data below L2 (Rd)
G Hwang - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
In this paper, we consider the Cauchy problem of the mass-critical nonlinear Schrödinger
equation (NLS) with radial data below L 2 (R d). We prove almost sure local well-posedness …
equation (NLS) with radial data below L 2 (R d). We prove almost sure local well-posedness …
[PDF][PDF] 非线性发展方程的初值随机化问题研究
黄建华， 闫威 - 河南师范大学学报(自然科学版), 2020 - htu.edu.cn
非线性发展方程的初值随机化问题研究∫∞ Page 1 第48卷第1期 2020年1月 河南师范大学
学报(自然科学版) Journalof HenanNormalUniversity(NaturalScienceEdition) Vol.48 No.1 Jan.2020 …
学报(自然科学版) Journalof HenanNormalUniversity(NaturalScienceEdition) Vol.48 No.1 Jan.2020 …
Pointwise convergence problem of Ostrovsky equation with rough data and random data
W Yan, Q Zhang, J Duan, M Yang - arXiv preprint arXiv:2006.15981, 2020 - arxiv.org
In this paper, we consider the pointwise convergence problem of free Ostrovsky equation
with rough data and random data. Firstly, we show the almost everywhere pointwise …
with rough data and random data. Firstly, we show the almost everywhere pointwise …
The Cauchy problem for the generalized KdV equation with rough data and random data
W Yan, X Yan, J Duan, J Huang - arXiv preprint arXiv:2011.07128, 2020 - arxiv.org
In this paper, we consider the Cauchy problem for the generalized KdV equation with rough
data and random data. Firstly, we prove that $ u (x, t)\longrightarrow u (x, 0) $ as …
data and random data. Firstly, we prove that $ u (x, t)\longrightarrow u (x, 0) $ as …