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Anisotropic covering of fractal sets
Anisotropic covering of fractal sets Pattern Formation and Solitons
2012/4/26
We consider the optimal covering of fractal sets in a two-dimensional space using ellipses which become increasingly anisotropic as their size is reduced. If the semi-minor axis is \epsilon and the se...
Effective Willis constitutive equations for periodically stratified anisotropic elastic media
Effective Willis constitutive equations periodically stratified anisotropic elastic media
2011/3/4
A method to derive homogeneous effective constitutive equations for periodically layered
elastic media is proposed. The crucial and novel idea underlying the procedure is that the
coefficients of th...
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Carleman estimate elliptic operator non-smooth coecient quasimode
2011/2/21
We consider a second-order selfadjoint elliptic operator with an anisotropic di usion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-function such that a Carlema...