Stability for a nonlinear hyperbolic equation with time-dependent coefficients and boundary damping
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-022-01856-z.pdf
Reference30 articles.
1. Astudillo, M., Cavalcanti, M.M., Fukuoka, R., Gonzalez Martinez, V.H.: Local uniform stability for the semilinear wave equation in inhomogeneous media with locally distributed Kelvin-Voigt damping. Math. Nachr. 291(14–15), 2145–2159 (2018)
2. Bey, R., Lohéac, J.-P., Moussaoui, M.: Singularities of the solutions of a mixed problem for a general second order elliptic equation and boundary stabilization of the wave equation. J. Math. Pures Appl. 78, 1043–1067 (1999)
3. Boiti, C., Manfrin, R.: On the asymptotic boundedness of the energy of solutions of the wave equation $$u_{tt}-a(t)\Delta u=0$$. Ann. Univ. Ferrara 58, 251–289 (2012)
4. Burq, N., Gérard, P.: Contrôle Optimal des équations aux dérivées partielles (2001). http://www.math.u-psud.fr/~burq/articles/coursX.pdf
5. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Fukuoka, R., Pampu, A.B., Astudillo, M.: Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping. Nonlinearity 31, 4031–4064 (2018)
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