Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation

In this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,

Bibliographic Details
Main Authors: Cavalcanti Marcelo M., Domingos Cavalcanti Valéria N.
Format: Article
Language:English
Published: De Gruyter 2021-11-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2021-2150
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author Cavalcanti Marcelo M.
Domingos Cavalcanti Valéria N.
author_facet Cavalcanti Marcelo M.
Domingos Cavalcanti Valéria N.
author_sort Cavalcanti Marcelo M.
collection DOAJ
description In this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,
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spelling doaj.art-8edb170bd0ae4cb0abf21b43f56c98502022-12-22T03:09:16ZengDe GruyterAdvanced Nonlinear Studies1536-13652169-03752021-11-0121487590310.1515/ans-2021-2150Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type EquationCavalcanti Marcelo M.0Domingos Cavalcanti Valéria N.1Departamento de Matemática, Universidade Estadual de Maringá, Avenida Colombo, 5790, CEP 87020-900, Maringá, PR, BrazilDepartamento de Matemática, Universidade Estadual de Maringá, Avenida Colombo, 5790, CEP 87020-900, Maringá, PR, BrazilIn this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,https://doi.org/10.1515/ans-2021-2150schrödinger-type equationwell-posednessuniform decayblow-up in finite time35q55 35b40 35b44
spellingShingle Cavalcanti Marcelo M.
Domingos Cavalcanti Valéria N.
Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
Advanced Nonlinear Studies
schrödinger-type equation
well-posedness
uniform decay
blow-up in finite time
35q55
35b40
35b44
title Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
title_full Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
title_fullStr Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
title_full_unstemmed Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
title_short Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
title_sort well posedness and uniform decay rates for a nonlinear damped schrodinger type equation
topic schrödinger-type equation
well-posedness
uniform decay
blow-up in finite time
35q55
35b40
35b44
url https://doi.org/10.1515/ans-2021-2150
work_keys_str_mv AT cavalcantimarcelom wellposednessanduniformdecayratesforanonlineardampedschrodingertypeequation
AT domingoscavalcantivalerian wellposednessanduniformdecayratesforanonlineardampedschrodingertypeequation