Sharp criteria of blow-up solutions for the cubic nonlinear beam equation

Jun Qing, Chuangyuan Zhang

Type: Article

Publication Date: 2019-02-12

Citations: 2

DOI: https://doi.org/10.1186/s13661-019-1149-5

Abstract

In this paper, we obtain the precisely sharp criteria of blow-up and global existence for the cubic nonlinear beam equation in the $H^{2}$ energy-critical and $H^{2}$ sub-critical cases, respectively.

Locations

DOAJ (DOAJ: Directory of Open Access Journals) - View
Boundary Value Problems - View - PDF

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+	None	1998	Steven Levandosky
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+	Spatial Patterns: Higher Order Models in Physics and Mechanics	2001	L. A. Peletier William C. Troy
+ PDF Chat	Best constant in Sobolev inequality	1976	Giorgio Talenti
+	Solvability of the Cauchy problem of nonlinear beam equations in Besov spaces	2005	Ai Guo Shangbin Cui
+ PDF Chat	Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation	2010	Han Yang Jian Zhang Shihui Zhu
+	Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case	2008	Changxing Miao Guixiang Xu Lifeng Zhao
+	Decay Estimates for Fourth Order Wave Equations	1998	Steven Levandosky
+ PDF Chat	On Blow-up Solutions to the 3D Cubic Nonlinear Schrodinger Equation	2008	Justin Holmer Svetlana Roudenko