On the energy decay rates for the 1D damped fractional Klein–Gordon equation

Mathematische Nachrichten ◽

10.1002/mana.201800417 ◽

2019 ◽

Vol 293 (2) ◽

pp. 363-375

Author(s):

Satbir Malhi ◽

Milena Stanislavova

Keyword(s):

Gordon Equation ◽

Energy Decay ◽

Decay Rates ◽

Klein Gordon ◽

Energy Decay Rates ◽

Klein Gordon Equation

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Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2011.041880 ◽

2011 ◽

Vol 3 (3) ◽

pp. 349

Author(s):

Mitsuhiro Nakao

Keyword(s):

Cauchy Problem ◽

Gordon Equation ◽

Energy Decay ◽

Dissipative Term ◽

The Cauchy Problem ◽

Klein Gordon ◽

Klein Gordon Equation

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Weighted Energy Decay for 1D Klein–Gordon Equation

Communications in Partial Differential Equations ◽

10.1080/03605300903419783 ◽

2010 ◽

Vol 35 (2) ◽

pp. 353-374 ◽

Author(s):

A. I. Komech ◽

E. A. Kopylova

Keyword(s):

Gordon Equation ◽

Energy Decay ◽

Weighted Energy ◽

Klein Gordon ◽

Klein Gordon Equation

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Energy decay for the Klein–Gordon equation with highly oscillating damping

10.5802/ahl.9 ◽

2018 ◽

Vol 1 ◽

pp. 297-312 ◽

Author(s):

Julien Royer

Keyword(s):

Gordon Equation ◽

Energy Decay ◽

Klein Gordon ◽

Klein Gordon Equation

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Weighted energy decay for 3D Klein–Gordon equation

Journal of Differential Equations ◽

10.1016/j.jde.2009.06.011 ◽

2010 ◽

Vol 248 (3) ◽

pp. 501-520 ◽

Author(s):

A.I. Komech ◽

E.A. Kopylova

Keyword(s):

Gordon Equation ◽

Energy Decay ◽

Weighted Energy ◽

Klein Gordon ◽

Klein Gordon Equation

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Weighted energy decay for magnetic Klein–Gordon equation

Applicable Analysis ◽

10.1080/00036811.2014.884710 ◽

2014 ◽

Vol 94 (2) ◽

pp. 218-232 ◽

Author(s):

A.I. Komech ◽

E.A. Kopylova

Keyword(s):

Gordon Equation ◽

Energy Decay ◽

Weighted Energy ◽

Klein Gordon ◽

Klein Gordon Equation

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Exponential Energy Decay for Damped Klein–Gordon Equation with Nonlinearities of Arbitrary Growth

Communications in Partial Differential Equations ◽

10.1080/03605302.2010.534684 ◽

2010 ◽

Vol 36 (5) ◽

pp. 797-818 ◽

Author(s):

L. Aloui ◽

S. Ibrahim ◽

K. Nakanishi

Keyword(s):

Gordon Equation ◽

Energy Decay ◽

Exponential Energy Decay ◽

Klein Gordon ◽

Klein Gordon Equation

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Energy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative term

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06430851 ◽

2012 ◽

Vol 64 (3) ◽

pp. 851-883 ◽

Author(s):

Mitsuhiro NAKAO

Keyword(s):

Gordon Equation ◽

Energy Decay ◽

Exterior Domains ◽

Dissipative Term ◽

Klein Gordon ◽

Klein Gordon Equation

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Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions

Journal of Mathematical Physics ◽

10.1063/1.3040185 ◽

2009 ◽

Vol 50 (1) ◽

pp. 013506 ◽

Author(s):

Jong Yeoul Park ◽

Tae Gab Ha

Keyword(s):

Boundary Conditions ◽

Gordon Equation ◽

Decay Rates ◽

Well Posedness ◽

Damping Term ◽

Acoustic Boundary Conditions ◽

Uniform Decay ◽

Klein Gordon ◽

Klein Gordon Equation

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Local energy decay for the damped Klein-Gordon equation in exterior domain

Applicable Analysis ◽

10.1080/00036811.2015.1136821 ◽

2016 ◽

Vol 96 (2) ◽

pp. 349-362 ◽

Author(s):

Mohamed Malloug

Keyword(s):

Exterior Domain ◽

Gordon Equation ◽

Energy Decay ◽

Local Energy ◽

Klein Gordon ◽

Klein Gordon Equation

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Energy decay for the linear Klein–Gordon equation and boundary control

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.01.053 ◽

2014 ◽

Vol 414 (2) ◽

pp. 934-944 ◽

Author(s):

R.S.O. Nunes ◽

W.D. Bastos

Keyword(s):

Boundary Control ◽

Gordon Equation ◽

Energy Decay ◽

Klein Gordon ◽

Klein Gordon Equation

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