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Non-decay of the energy for a system of semilinear wave equations

Published 13 Nov 2020 in math.AP | (2011.06743v1)

Abstract: We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large time non-decay of the energy for small amplitude solutions in terms of the radiation fields associated with the initial data.

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