科研之友
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摘要
We establish a decoupling result for the P and S waves of linear, isotropic elasticity, in the setting of twice-differentiable Lame parameters. Precisely, we show that the P <-> S components of the wave propagation operator are regularizing of order one on L(2) data, by establishing the diagonalization of the elastic system modulo a L(2)-bounded operator. Effecting the diagonalization in the setting of twice-differentiable coefficients depends upon the symbol of the conjugation operator having a particular structure.
- 出版日期2011
