scholarly journals Global solution to the wave and Klein-Gordon system under null condition in dimension two

2021 ◽  
Vol 281 (11) ◽  
pp. 109232
Author(s):  
Shijie Dong
Keyword(s):  
Global Solution ◽  
Null Condition ◽  
Klein Gordon

scholarly journals Global Solution for Massive Maxwell‐Klein‐Gordon Equations

2019 ◽  
Vol 73 (1) ◽  
pp. 63-109
Author(s):  
Sergiu Klainerman ◽  
Qian Wang ◽  
Shiwu Yang
Keyword(s):  
Global Solution ◽  
Klein Gordon

scholarly journals A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions

2012 ◽  
Vol 65 (9) ◽  
pp. 1285-1302 ◽  
Author(s):  
Soichiro Katayama ◽  
Tohru Ozawa ◽  
Hideaki Sunagawa
Keyword(s):  
Null Condition ◽  
Klein Gordon ◽  
Two Space Dimensions

Global solution for coupled nonlinear Klein-Gordon system

2007 ◽  
Vol 28 (5) ◽  
pp. 677-687 ◽  
Author(s):  
Zai-hui(am甘在会) Gan ◽  
Jian(am张健) Zhang
Keyword(s):  
Global Solution ◽  
Klein Gordon

scholarly journals Local well-posedness of the two-dimensional Dirac–Klein–Gordon equations in Fourier–Lebesgue spaces

2020 ◽  
Vol 17 (04) ◽  
pp. 785-796
Author(s):  
Hartmut Pecher
Keyword(s):  
Classical Case ◽  
Well Posedness ◽  
Two Dimensional ◽  
Null Condition ◽  
Lebesgue Spaces ◽  
Klein Gordon ◽  
Two Space Dimensions

The local well-posedness problem is considered for the Dirac–Klein–Gordon system in two space dimensions for data in Fourier–Lebesgue spaces [Formula: see text], where [Formula: see text] and [Formula: see text] and [Formula: see text] denote dual exponents. We lower the regularity assumptions on the data with respect to scaling improving the results of d’Ancona et al. in the classical case [Formula: see text]. Crucial is the fact that the nonlinearities fulfill a null condition as detected by these authors.

scholarly journals Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field

Annals of PDE ◽  
2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Allen Fang ◽  
Qian Wang ◽  
Shiwu Yang
Keyword(s):  
Global Solution ◽  
Maxwell Field ◽  
Klein Gordon
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