Difficulties in obtaining finite time blowup for fourth-order semilinear Schrodinger equations in the variational method frame

Difficulties in obtaining finite time blowup for fourth-order semilinear Schrodinger equations in the variational method frame

This article concerns the Cauchy problem for fourth-order semilinear Schrodinger equations. By constructing a variational problem and some invariant manifolds, we prove the existence of a global solution. Then we analyze the difficulties in proving the finite time blowup of the solution for...

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Bibliographic Details
Main Authors: Runzhang Xu, Qiang Lin, Shaohua Chen, Guojun Wen, Wei Lian
Format: Article
Language:English
Published: Texas State University 2019-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Fourth-order Schrodinger equation
global solution
blowup
variational problem
invariant manifolds
Online Access:http://ejde.math.txstate.edu/Volumes/2019/83/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2019/83/abstr.html

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