Abstract
This manuscript presents some results on the decay estimate and asymptotic behavior of small solutions to the Cauchy problem of 1D Schrödinger equations with a sub-critical dissipative nonlinearity. Our aim is to determine the explicit lower bound of the nonlinear power for which certain a priori estimate of the solution works well.
Information
Published: 1 January 2019
First available in Project Euclid: 31 October 2019
zbMATH: 07176819
Digital Object Identifier: 10.2969/aspm/08110121
Subjects:
Primary:
35B40
,
35Q55
Keywords:
asymptotic behavior
,
decay estimate
,
dissipative nonlinearity
,
nonlinear Schrödinger equation
,
sub-critical nonlinearity
Rights: Copyright © 2019 Mathematical Society of Japan
