Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass

Abstract

We consider the linear wave equation with the time-dependent scale-invariant damping and mass. We also treat the corresponding equation with the energy critical nonlinearity. Our aim is to show that the solution scatters to a modified linear wave solution and to obtain its asymptotic order.

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Cited by in corpus (1)

• Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma