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Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance
We consider a nonlinear system of two-dimensional Klein-Gordon equations with
masses satisfying the resonance relation. We introduce a structural condition
on the nonlinearities under which the solution exists globally in time and
decays at the rate . In particular, our new condition includes the
Yukawa type interaction, which has been excluded from the null condition in the
sense of J.-M.Delort, D.Fang and R.Xue.Comment: to appear in J. Differential Equation
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