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 …
[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 …
Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation
VD Dinh - Journal of Mathematical Physics, 2021 - pubs.aip.org
We consider the mass-critical nonlinear fourth-order Schrödinger equations with random
initial data. We prove almost sure local well-posedness and probabilistic small data global …
initial data. We prove almost sure local well-posedness and probabilistic small data global …