Square roots of perturbed subelliptic operators on Lie groups

• Autorzy: Lashi Bandara , A. F. M. ter Elst , Alan McIntosh
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35H20: Subelliptic equations
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 47B44: Accretive operators, dissipative operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 216
• Numer: 3
• Strony: 193-217

Daty

wydano

2013

Twórcy

autor

Lashi Bandara

• Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia

autor

A. F. M. ter Elst

• Department of Mathematics, University of Auckland, Private bag 92019, Auckland 1142, New Zealand

autor

Alan McIntosh

• Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia

Identyfikatory

DOI

10.4064/sm216-3-1