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Article Contents

# Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity

• We consider the scattering problem for the Klein-Gordon equation with cubic convolution nonlinearity. We give some estimates for the nonlinearity, and prove the existence of the scattering operator, which improves the known results in some sense. Our proof is based on the Strichartz estimates for the inhomogeneous Klein-Gordon equation.
Mathematics Subject Classification: Primary: 35P25, 81Q05; Secondary: 35B05.

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