We study the existence of the wave operators for the nonlinear Klein-Gordon equation with quadratic nonlinearity in two space dimensions u=λu2, (t,x)∈R×R2. We prove existence of wave operators in lower order Sobolev spaces by using estimates of bilinear operators associated with Klein-Gordon equation.
- Bilinear estimates
- Nonlinear Klein-Gordon equations
- Quadratic nonlinearity
- Two space dimensions
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