Carleman estimates for stratified media
Copyright policy )Carleman estimates for stratified media
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 \(S\).
Non-smooth coefficients, PDEs with low regular coefficients and/or low regular data, elliptic operators, General theory of partial differential operators, Elliptic operators, Parabolic operators, Carleman estimate, Second-order elliptic equations, Stratified media, Second-order parabolic equations, observation location, Observation location, stratified media, parabolic operators, non-smooth coefficients, Analysis
Non-smooth coefficients, PDEs with low regular coefficients and/or low regular data, elliptic operators, General theory of partial differential operators, Elliptic operators, Parabolic operators, Carleman estimate, Second-order elliptic equations, Stratified media, Second-order parabolic equations, observation location, Observation location, stratified media, parabolic operators, non-smooth coefficients, Analysis
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