Global asymptotic behavior of solutions to quasilinear Schrödinger equations
Date
2020-03-31
Authors
Zhang, Lin
Song, Xianfa
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We are concerned with the existence and blowup of solutions for a class of quasilinear Schrödinger 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.
Description
Keywords
Qusilinear Schrödinger equation, Global solution, Blow up, Asymptotic behavior
Citation
Zhang, L., & Song, X. (2020). Global asymptotic behavior of solutions to quasilinear Schrödinger equations. <i>Electronic Journal of Differential Equations, 2020</i>(27), pp. 1-14.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.