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Carleman estimates for stratified media. (English) Zbl 1218.35238
Let $$\Omega=\Omega'\times (-H,H)$$ be a cylinder in $$\mathbb R^n$$, where $$\Omega'$$ is a nonempty bounded set in $$\mathbb R^{n-1}$$. Let $$S=\Omega'\times\{0\}$$ be an interface where coefficients and functions may jump. The authors prove Carleman estimates for anisotropic elliptic and parabolic operators with discontinuities on $$S$$.

##### MSC:
 35R05 PDEs with low regular coefficients and/or low regular data 35J15 Second-order elliptic equations 35K10 Second-order parabolic equations 47F05 General theory of partial differential operators
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