6533b7dafe1ef96bd126e181
RESEARCH PRODUCT
Carleman estimates for sub-Laplacians on Carnot groups
Vedansh AryaDharmendra Kumarsubject
Mathematics - Analysis of PDEsCarnot groupsMathematics::Analysis of PDEsFOS: MathematicsMathematics::Spectral TheoryCarleman estimateunique continuationAnalysis of PDEs (math.AP)description
In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group $\mathbb G$ for functions satisfying the discrepancy assumption in (2.16) below. We use such an estimate to derive a sharp vanishing order estimate for solutions to stationary Schr\"odinger equations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-05-04 |