Solvability of second-order left-invariant differential operators on the Heisenberg group

Ricci, Fulvio

Journées équations aux dérivées partielles (2000), article no. 15, 10 p.

Résumé

We present some recent results, obtained jointly with Detlef Müller, on solvability of operators of the form

$$\sum _{j,k=1}^{2n}{a}_{jk}{V}_j{V}_k+i\alpha U$$

where the $V_j$ are left-invariant vector fields on the Heisenberg group, such that $[V_j,V_{j+n}]=U$ ($1\le j\le n$) are the only nontrivial relations, and $A=\left(a_{jk}\right)$ is a complex symmetric matrix with semi-definite real part. The presentation also contains references on the work done in the past few years in this area.

Détail

DOI : 10.5802/jedp.579