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

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

Abstract In this paper, we obtain the precisely sharp criteria of blow-up and global existence for the cubic nonlinear beam equation in the H2 $H^{2}$ energy-critical and H2 $H^{2}$ sub-critical cases, respectively.

Bibliographic Details
Main Authors: Jun Qing, Chuangyuan Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Boundary Value Problems
Subjects:
Cubic nonlinear beam equation
H 2 $H^{2}$ energy-critical
Sharp criteria
Blow-up
Online Access:http://link.springer.com/article/10.1186/s13661-019-1149-5

Internet

http://link.springer.com/article/10.1186/s13661-019-1149-5

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