Upper and lower time decay bounds for solutions of dissipative nonlinear schrodinger equations

Nakao Hayashi; Chunhua Li; Pavel I. Naumkin

doi:10.3934/cpaa.2017103

Upper and lower time decay bounds for solutions of dissipative nonlinear schrodinger equations

Nakao Hayashi, Chunhua Li, Pavel I. Naumkin

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We study the upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations in space dimensions n = 1; 2 or 3, where λ = λ₁ +iλ₂; λ_j R; j = 1; 2; λ₂ < 0 and the subcritical order of nonlinearity where μ > 0 is small enough.

Original language	English
Pages (from-to)	2089-2104
Number of pages	16
Journal	Communications on Pure and Applied Analysis
Volume	16
Issue number	6
DOIs	https://doi.org/10.3934/cpaa.2017103
Publication status	Published - 2017 Nov

Keywords

Dissipative NLS equations
Large time asymptotics
Sharp time decay

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10.3934/cpaa.2017103

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title = "Upper and lower time decay bounds for solutions of dissipative nonlinear schrodinger equations",

abstract = "We study the upper and lower time decay bounds for solutions of dissipative nonlinear Schr{\"o}dinger equations in space dimensions n = 1; 2 or 3, where λ = λ1 +iλ2; λj R; j = 1; 2; λ2 < 0 and the subcritical order of nonlinearity where μ > 0 is small enough.",

keywords = "Dissipative NLS equations, Large time asymptotics, Sharp time decay",

author = "Nakao Hayashi and Chunhua Li and Naumkin, {Pavel I.}",

year = "2017",

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T1 - Upper and lower time decay bounds for solutions of dissipative nonlinear schrodinger equations

AU - Hayashi, Nakao

AU - Li, Chunhua

AU - Naumkin, Pavel I.

PY - 2017/11

Y1 - 2017/11

N2 - We study the upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations in space dimensions n = 1; 2 or 3, where λ = λ1 +iλ2; λj R; j = 1; 2; λ2 < 0 and the subcritical order of nonlinearity where μ > 0 is small enough.

AB - We study the upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations in space dimensions n = 1; 2 or 3, where λ = λ1 +iλ2; λj R; j = 1; 2; λ2 < 0 and the subcritical order of nonlinearity where μ > 0 is small enough.

KW - Dissipative NLS equations

KW - Large time asymptotics

KW - Sharp time decay

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DO - 10.3934/cpaa.2017103

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EP - 2104

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 6

ER -

Upper and lower time decay bounds for solutions of dissipative nonlinear schrodinger equations

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Keywords

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