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MR1212937 (94e:65130) 65N55 (35B25 76D05 76M25 76R50)
Canuto, C.; Russo, A. On the elliptic-hyperbolic coupling. I. The advection-diffusion equation via the $\chi$-formulation. Math. Models Methods Appl. Sci. 3 (1993), no. 2, 145--170.
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