The sharp threshold and limiting profile of blow-up solutions for a Davey–Stewartson system

Xiaoguang Li, Jian Zhang, Shaoyong Lai, Yonghong Wu

Type: Article

Publication Date: 2010-11-12

Citations: 20

DOI: https://doi.org/10.1016/j.jde.2010.10.022

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Locations

Journal of Differential Equations - View

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+ PDF Chat	Global Analysis for Rough Solutions to the Davey-Stewartson System	2012	Han Yang Xiaoming Fan Shihui Zhu
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+ PDF Chat	Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms	2012	Yong-Ju Yang Xinguang Zhang
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+ PDF Chat	On the Davey–Stewartson system with singular initial data	2012	Élder J. Villamizar‐Roa Jhean E. Pérez-López
+ PDF Chat	Sharp blow-up criteria for the Davey-Stewartson system in R³	2011	Jian Zhang Shihui Zhu
+ PDF Chat	Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities	2019	Yongbin Wang Binhua Feng
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Works Cited by This (42)

Action	Title	Year	Authors
+	Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in $\mathbb {R}^2$	1995	Masahito Ohta
+	Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power	1993	Franck Merle
+ PDF Chat	The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1.	1984	Pierre‐Louis Lions
+	Sharp upper bound on the blow-up rate for the critical nonlinear Schr�dinger equation	2003	Frank Merle Pierre Raphaël
+	Global existence and nonexistence results for a generalized Davey–Stewartson system	2004	Ceni Babaoğlu A. Eden S. Erbay
+	Existence of Pseudo-Conformally Invariant Solutions to the Davey–Stewartson System	2001	Rolci Cipolatti Otared Kavian
+	Blow-up of H1 solution for the nonlinear Schrödinger equation	1991	Takayoshi Ogawa Yoshio Tsutsumi
+	On a class of nonlinear Schrödinger equations. II. Scattering theory, general case	1979	J. Ginibre G. Velo
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey
+	On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations	1986	Michael I. Weinstein