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VOL. 81 | 2019 Decay estimate and asymptotic behavior of small solutions to Schrödinger equations with subcritical dissipative nonlinearity
Naoyasu Kita, Yoshihisa Nakamura

Editor(s) Keiichi Kato, Takayoshi Ogawa, Tohru Ozawa

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

Rights: Copyright © 2019 Mathematical Society of Japan

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