Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 27, pp. 1-14.

Title: Global asymptotic behavior of solutions to quasilinear schrodinger equations

Authors: Lin Zhang   (Tianjin Univ., Tianjin, China)
         Xianfa Song (Tianjin Univ., Tianjin, China)

Abstract:
 We are concerned with the existence and blowup of solutions for a class
 of quasilinear Schrodinger equations. In particular, we examine the combined
 effect of local type nonlinearity and Hartree type ones, and depending upon different
 parameter regimes, we find the dominant roles exhibited by these nonlinear effects.
 We also consider the asymptotic behavior for the global solution and lower bound
 for the blowup rate of the blowup solution by using pseudo-conformal conservation laws.
 
Submitted October 24, 2019 Published March 31, 2020.
Math Subject Classifications: 35B44, 35Q55.
Key Words: Qusilinear Schrodinger equation; global solution; blow up;
           asymptotic behavior.