Communications in Mathematical Sciences

Volume 3 (2005)

Number 3

A Result of L2-Well Posedness Concerning the System of Linear Elasticity in 2D

Pages: 317 – 334

DOI: https://dx.doi.org/10.4310/CMS.2005.v3.n3.a3

Authors

Alessandro Morando

Denis Serre

Abstract

We give an L2-well posedness result concerning an initial boundary value problem for the system of linear elasticity either in the half-plane or in a two dimensional bounded domain. Under the necessary uniform Kreiss Lopatinskii condition we construct here a dissipative Kreiss symmetrizer of our problem; actually, due to the characteristic boundary and the lack of a technical assumption given by T. Ohkubo, the main difficulty consists of building the dissipative symmetrizer near some special "boundary points".

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Published 1 January 2005