On the {$L\sp 2$}-well posedness of an initial boundary value problem for the 3D linear elasticity
Morando, Alessandro ; Serre, Denis
Commun. Math. Sci., Tome 3 (2005) no. 1, p. 575-586 / Harvested from Project Euclid
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In a recent paper, we analyzed the {$L\sp 2$}-well posedness of an initial boundary value problem (ibvp) for the two-dimensional system of the linear elasticity under the uniform Kreiss- Lopatinskii condition. The present work is devoted to studying the analog of this problem in the three-dimensional case, when the Majda-Osher's analysis cannot be applied. The well-posedness is achieved by constructing an everywhere smooth non-degenerate dissipative Kreiss symmetrizer of the ibvp: this is done by adapting to the present situation the techniques already implemented for the two-dimensional linear elasticity. Compared with the latter case, some further technical difficulties have to be accounted for.
Publié le : 2005-12-14
Classification:  35Q72,  35B30,  35L50,  74B05,  74H20,  74H25 
@article{1144429333,
     author = {Morando, Alessandro and Serre, Denis},
     title = {On the {$L\sp 2$}-well posedness of an initial boundary value problem for the 3D linear elasticity},
     journal = {Commun. Math. Sci.},
     volume = {3},
     number = {1},
     year = {2005},
     pages = { 575-586},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1144429333}
}

Morando, Alessandro; Serre, Denis. On the {$L\sp 2$}-well posedness of an initial boundary value problem for the 3D linear elasticity. Commun. Math. Sci., Tome 3 (2005) no. 1, pp.  575-586. http://gdmltest.u-ga.fr/item/1144429333/