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Square roots of perturbed subelliptic operators on Lie groups

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Bandara L., ter Elst A., McIntosh A.

Studia Mathematica

2013

tom 216

nr 3

193-217

We solve the Kato square root problem for bounded measurable perturbations of subelliptic operators on connected Lie groups. The subelliptic operators are divergence form operators with complex bounded coefficients, which may have lower order terms. In this general setting we deduce inhomogeneous estimates. In case the group is nilpotent and the subelliptic operator is pure second order, we prove stronger homogeneous estimates. Furthermore, we prove Lipschitz stability of the estimates under small perturbations of the coefficients.

Ograniczanie wyników

1 Studia Mathematica

1 Bandara L.

1 McIntosh A.

1 ter Elst A.

1 2013

Wyniki wyszukiwania

Square roots of perturbed subelliptic operators on Lie groups