In this paper, we establish some new L2 − L2 Carleman estimates for the Baouendi–Grushin operators Bℽ, in Equation (1). We apply such estimates to obtain: (i) an extension of the Bourgain–Kenig quantitative unique continuation and (ii) the strong unique continuation property for some degenerate sublinear equations.
Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation
Garofalo N.
;
2020
Abstract
In this paper, we establish some new L2 − L2 Carleman estimates for the Baouendi–Grushin operators Bℽ, in Equation (1). We apply such estimates to obtain: (i) an extension of the Bourgain–Kenig quantitative unique continuation and (ii) the strong unique continuation property for some degenerate sublinear equations.File in questo prodotto:
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