In this work, we consider a two by two system of evolution equations with a noneffective damping and semilinear coupling of derivative type. We provide sufficient conditions on the power nonlinearities in the coupling term which guarantee the existence of global-in-time small data solutions.
A system of two σ-evolution equations with non-effective damping and coupling derivative-type semilinear terms
D'Abbicco, Marcello;Lagioia, Antonio
2024-01-01
Abstract
In this work, we consider a two by two system of evolution equations with a noneffective damping and semilinear coupling of derivative type. We provide sufficient conditions on the power nonlinearities in the coupling term which guarantee the existence of global-in-time small data solutions.File in questo prodotto:
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