Geodesic
On a mixed problem for a linear coupled system with variable coefficients
Electronic Journal of Differential Equations, Tome 1998 (1998).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove existence, uniqueness and exponential decay of solutions to the mixed problem $$u''(x,t)-\mu(t)\Delta u(x,t)+\sum_{i=1}^n {\partial \theta\over\partial x_i}(x,t)=0 $ $ \theta'(x,t)-\Delta \theta(x,t) +\sum_{i=1}^n {\partial u'\over\partial x_i}(x,t)=0\,, with a suitable boundary damping, and a positive real-valued function $\mu$.$$
Classification : 35F15, 35N10, 35B40
Keywords: mixed problem, boundary damping, exponential stability 
@article{EJDE_1998__1998__a9,
     author = {Clark, H.R. and San Gil Jutuca, L.P. and Milla Miranda, M.},
     title = {On a mixed problem for a linear coupled system with variable coefficients},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a9/}
}
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Clark, H.R.; San Gil Jutuca, L.P.; Milla Miranda, M. On a mixed problem for a linear coupled system with variable coefficients. Electronic Journal of Differential Equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a9/