Abstract
We consider the system of quadratic nonlinear Klein-Gordon equations in two space dimensions. Under the mass condition such that 2m1>m2, we construct the scattering operator in an almost natural weighted Sobolev class H1+δ,1 or the scattering problem in lower order Sobolev class H4/3-δ1+δ∩H1+δ, where δ>0 is small.
Original language | English |
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Pages (from-to) | 3615-3646 |
Number of pages | 32 |
Journal | Journal of Differential Equations |
Volume | 254 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2013 Apr 15 |
Keywords
- Bilinear estimates
- Nonlinear Klein-Gordon equations
- Quadratic nonlinearity
- Two space dimensions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics