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Carleman estimates for Baouendi-Grushin operators with applications to quantitative uniqueness and strong unique continuation by Banerjee, Agnid; Garofalo, Nicola; Manna, Ramesh is a scholarly article available to read on EtoBox.

What is Carleman estimates for Baouendi-Grushin operators with applications to quantitative uniqueness and strong unique continuation about?

In this paper we establish some new $L^{2}-L^{2}$ Carleman estimates for the Baouendi-Grushin operators $\mathscr{B}_\gamma$, in (1.1) below. We apply such estimates to obtain: (i) an extension of the Bourgain-Kenig quantitative unique continuation; (ii) the strong unique continuation property for some degenerate sublinear equations.

Author

Banerjee, Agnid; Garofalo, Nicola; Manna, Ramesh

Published

2019

Language

EN