Seminário de Equações Diferenciais Parciais
Palestrante: Ruy Coimbra Charão
e-mail: [email protected]
Data/Horário: 07/10/2015 às 15:30h
Local: Sala 302 - Departamento de Matemática
On Fast Decay Rates for Damped Boussinesq/Beam Equations
on the 1-D half line.
RESUMO: We derive fast decay results of the total energy and L2 -norm of solution for a Boussinesq/Beam equations under efects of a Stokes frictional damping. In
order to obtain the results, we use idea due to [1] to the one dimensional exterior mixed problem and we construct an important Hardy-Sobolev type inequality, which holds
only in the 1-D half line case. We also construct a very simple, but not usual, Sobolev
inequality which is very appropriate to our problem.
Referências:
[1] R. Ikehata and T. Matsuyama, L2 -behaviour of solutions to the linear heat and
wave equations in exterior domains, Sci. Math. Japon. 55 (2002), 33–42.
[2] C. R. da Luz and R. Coimbra Charão, Asymptotic properties for a semilinear
plate equation in unbounded domains, J. Hyperbolic Diff. Eqs. 6(2009), no. 2, 269–294.
[3] S. Wang and H. Xu, On the asymptotic behavior of solution for the generalized
IBq equation with Stokes damped term, Z. Angew. Math. Phys. 64 (2013), 719–731.
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