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We revisit the scattering problems for the 2D mass super-criticalSchr\"{o}dinger and Klein-Gordon equations with radial data below the groundstate in the energy space. We give an alternative proof of energy scatteringfor both defocusing and focusing cases using the ideas of Dodson-Murphy\citep{dodson2017new-radial}. Our results also include the exponential typenonlinearities which seems to be new for the focusing exponential NLS.

Scattering below the ground state for the 2D non-linear Schr\"{o}dinger and Klein-Gordon equations revisited