Scattering of rough solutions of the nonlinear Klein-Gordon equations in 3D
classification
🧮 math.AP
keywords
klein-gordonscatteringsolutionsbelowconcentrationdecaydecompositionenergy
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We prove scattering of solutions below the energy norm of the 3D Klein-Gordon equation for 5>p>3. In order to do that, we generate an exponential-type decay estimate in H^{s}, s<1, by means of concentration and a low-high frequency decomposition.
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