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For the system of Laguerre functions we define a suitable BMO space from the atomic version of the Hardy space considered by Dziubański in [], where is the maximal operator of the heat semigroup associated to that Laguerre system. We prove boundedness of over a weighted version of that BMO, and we extend such result to other systems of Laguerre functions, namely...
We consider a transmission problem with localized Kelvin‐Voigt viscoelastic damping. Our main result is to show that the corresponding semigroup is not exponentially stable, but the solution of the system decays polynomially to zero as when the initial data are taken over the domain Moreover, we prove that this rate of decay is optimal. Finally, using a second order scheme that...
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