Almost sure local wellposedness of energy critical fractional Schrödinger equations with hartree nonlinearity

Gyeongha Hwang

Type: Preprint

Publication Date: 2015-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.1504.06438

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Almost Sure Well-Posedness of Fractional Schrödinger Equations with Hartree Nonlinearity	2018	Gyeongha Hwang
+	Almost sure scattering for defocusing energy critical Hartree equation on $\R^5$	2023	Liying Tao Tengfei Zhao
+	On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity	2012	Yonggeun Cho Gyeongha Hwang Hichem Hajaiej Tohru Ozawa
+	Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra	2018	Divyang G. Bhimani
+	On well-posedness for inhomogeneous Hartree equations in the critical case	2022	Seongyeon Kim
+	On well-posedness for inhomogeneous Hartree equations in the critical case	2023	Seongyeon Kim
+	Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra.	2018	Divyang G. Bhimani
+	Almost sure global well posedness of the defocusing energy-critical wave equation with a Cubic Convolution	2023	Liying Tao Tengfei Zhao
+	Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra	2019	Divyang G. Bhimani
+	On Fractional Schrodinger Equations in sobolev spaces	2015	Younghun Hong Yannick Sire
+	Remarks on fractional Schr\"odinger equation on $\mathbb{R}^d$	2016	Van Duong Dinh
+	Well-posedness of nolinear fractional Schrödinger and wave equations in Sobolev spaces	2016	Van Duong Dinh
+	Global well-posedness of cubic fractional Schrödinger equations in one dimension	2019	Huali Zhang Shiliang Zhao
+ PDF Chat	The probabilistic Cauchy problem for the fourth order Schrödinger equation with special derivative nonlinearities	2020	Shuai Zhang Shaopeng Xu
+	Pointwise Decay of solutions to the energy critical nonlinear Schrödinger equations	2022	Zihua Guo Chunyan Huang Liang Song
+	Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS	2014	Árpád Bényi Tadahiro Oh Oana Pocovnicu
+	Well-posedness in weighted spaces for the generalized Hartree equation with p < 2	2021	Anudeep Kumar Arora Oscar Riaño Svetlana Roudenko
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical, Schr\"odinger equation with general nonlinearity in the radial case	2024	Jun Wang Zhaoyang Yin
+	Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $\TTT^d$, $d\geq 3$	2018	Haitian Yue
+ PDF Chat	On the wellposedness of periodic nonlinear Schrödinger equations with white noise dispersion	2023	Gavin Stewart

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Convergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace norms	2021	Michael Hott

Works Cited by This (25)

Action	Title	Year	Authors
+	On Fractional Schrodinger Equations in sobolev spaces	2015	Younghun Hong Yannick Sire
+	On the energy-critical fractional Schödinger equation in the radial case	2013	Zihua Guo Yannick Sire Yuzhao Wang Lifeng Zhao
+ PDF Chat	Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L2(T)	2012	J. Colliander Tadahiro Oh
+ PDF Chat	Global well-posedness and scattering for the mass-critical Hartree equation with radial data	2008	Changxing Miao Guixiang Xu Lifeng Zhao
+	Two singular dynamics of the nonlinear Schrödinger equation on a plane domain	2003	Nicolas Burq Patrick Gérard N. Tzetkov
+ PDF Chat	Random data Cauchy problem for supercritical Schrödinger equations	2009	Laurent Thomann
+	Modified wave operators for the Hartree equation with data, image and convergence in the same space	2002	Kenji Nakanishi
+	Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>	2014	Jonas Lührmann Dana Mendelson
+ PDF Chat	Mixed Norm Estimates of Schrödinger Waves and Their Applications	2010	Myeongju Chae Yonggeun Cho Sanghyuk Lee
+ PDF Chat	Two-dimensional nonlinear Schrödinger equation with random radial data	2012	Yu Deng