Well-posedness and optimal 1/t energy decay shown for the wave equation with nonlocal damping -||∇u_t(t)||₂² Δu_t using nonlinear semigroups.
D´ ecroissance de l’´ nergie locale de l’´ quation des ondes pour le probl` eme ext´ rieur et absence de r´ sonance au voisinage du r´ el, Acta Math., 180 (1998), 1-29
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Asymptotic behavior of the wave equation subject to a Kelvin-Voigt nonlocal damping
Well-posedness and optimal 1/t energy decay shown for the wave equation with nonlocal damping -||∇u_t(t)||₂² Δu_t using nonlinear semigroups.