A bilinear estimate and its application to a quadratic nonlinear Klein–Gordon equation in two space dimensions

Nakao Hayashi; Pavel I. Naumkin

doi:10.1016/j.jfa.2016.01.016

A bilinear estimate and its application to a quadratic nonlinear Klein–Gordon equation in two space dimensions

Journal of Functional Analysis ◽

10.1016/j.jfa.2016.01.016 ◽

2016 ◽

Vol 270 (6) ◽

pp. 1971-1994 ◽

Cited By ~ 2

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Gordon Equation ◽

Bilinear Estimate ◽

Klein Gordon ◽

Two Space Dimensions ◽

Klein Gordon Equation

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Wave operators to a quadratic nonlinear Klein–Gordon equation in two space dimensions

Nonlinear Analysis ◽

10.1016/j.na.2009.02.041 ◽

2009 ◽

Vol 71 (9) ◽

pp. 3826-3833 ◽

Cited By ~ 5

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Gordon Equation ◽

Wave Operators ◽

Klein Gordon ◽

Two Space Dimensions ◽

Klein Gordon Equation

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The Galerkin-averaging method for the Klein-Gordon equation in two space dimensions

Nonlinear Analysis ◽

10.1016/0362-546x(94)e0072-o ◽

1996 ◽

Vol 27 (7) ◽

pp. 841-856 ◽

Cited By ~ 6

Author(s):

H. Pals

Keyword(s):

Gordon Equation ◽

Averaging Method ◽

Klein Gordon ◽

Two Space Dimensions ◽

Klein Gordon Equation

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Scattering for the cubic Klein–Gordon equation in two space dimensions

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2011-05536-4 ◽

2012 ◽

Vol 364 (3) ◽

pp. 1571-1631 ◽

Cited By ~ 21

Author(s):

Rowan Killip ◽

Betsy Stovall ◽

Monica Visan

Keyword(s):

Gordon Equation ◽

Klein Gordon ◽

Two Space Dimensions ◽

Klein Gordon Equation

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A Sharp Bilinear Estimate for the Klein–Gordon Equation in ℝ1+1

International Mathematics Research Notices ◽

10.1093/imrn/rns254 ◽

2012 ◽

Vol 2014 (5) ◽

pp. 1367-1378 ◽

Cited By ~ 4

Author(s):

Tohru Ozawa ◽

Keith M. Rogers

Keyword(s):

Gordon Equation ◽

Bilinear Estimate ◽

Klein Gordon ◽

Klein Gordon Equation

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A quadratic quasi-linear Klein–Gordon equation in two space dimensions

Journal of Evolution Equations ◽

10.1007/s00028-013-0177-3 ◽

2013 ◽

Vol 13 (2) ◽

pp. 253-280

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Gordon Equation ◽

Klein Gordon ◽

Two Space Dimensions ◽

Klein Gordon Equation

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Endpoint Strichartz estimates for the Klein–Gordon equation in two space dimensions and some applications

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2010.10.001 ◽

2011 ◽

Vol 95 (1) ◽

pp. 48-71 ◽

Cited By ~ 5

Author(s):

Jun Kato ◽

Tohru Ozawa

Keyword(s):

Gordon Equation ◽

Strichartz Estimates ◽

Klein Gordon ◽

Two Space Dimensions ◽

Klein Gordon Equation

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Wave operators to a quadratic nonlinear Klein–Gordon equation in two space dimensions revisited

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-011-0183-7 ◽

2011 ◽

Vol 63 (4) ◽

pp. 655-673 ◽

Cited By ~ 1

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin ◽

Satoshi Tonegawa

Keyword(s):

Gordon Equation ◽

Wave Operators ◽

Klein Gordon ◽

Two Space Dimensions ◽

Klein Gordon Equation

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Solutions of the Coupled Klein-Gordon Equation by Modified Exp-Function Method

Indian Journal Of Applied Research ◽

10.15373/2249555x/mar2013/90 ◽

2011 ◽

Vol 3 (3) ◽

pp. 276-278

Author(s):

Ram Dayal Pankaj ◽

◽

Arun Kumar

Keyword(s):

Function Method ◽

Gordon Equation ◽

Klein Gordon ◽

Klein Gordon Equation

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Analytical approximations to the l-wave solutions of the Klein–Gordon equation with position-dependent mass for mixed vector and scalar Hulthén-type potentials by using SUSYQM approach

Indian Journal of Physics ◽

10.1007/s12648-021-02068-3 ◽

2021 ◽

Author(s):

N. Zaghou ◽

F. Benamira ◽

L. Guechi

Keyword(s):

Gordon Equation ◽

Analytical Approximations ◽

Wave Solutions ◽

Klein Gordon ◽

Dependent Mass ◽

Position Dependent Mass ◽

Klein Gordon Equation

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Fractional Klein-Gordon equation with singular mass

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.110579 ◽

2021 ◽

Vol 143 ◽

pp. 110579

Author(s):

Arshyn Altybay ◽

Michael Ruzhansky ◽

Mohammed Elamine Sebih ◽

Niyaz Tokmagambetov

Keyword(s):

Gordon Equation ◽

Klein Gordon ◽

Klein Gordon Equation

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