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Carleman inequalities and unique continuation for higher-order elliptic differential operators

Carleman inequalities and unique continuation for higher-order elliptic differential operators

In this thesis, we study the weak unique continuation property for higher order elliptic differential operators with real coefficients via Carleman inequalities. We get several Carleman inequalities with sharp gaps for operators in a reasonable class, which lead eventually to the weak unique continuation property for differential inequalities with optimal …