In this paper we present some recent results concerning existence and estimates of the fundamental solution for hypoelliptic differential operators in the contact complex of Heisenberg groups, and their application to the compensated compactess for intrinc Heisenberg differential forms. As a consequence, we prove a general div--rot theorem for horizontal vector fields and a compactness theorem with respect to the $H$--convergence of differential operators in general Heisenberg groups $he n$ with $nge 1$.
Compensated compactness, div--curl theorem and $H$-convergence in general Heisenberg groups / A. Baldi; B. Franchi; M.C. Tesi. - STAMPA. - 6:(2007), pp. 33-47. (Intervento presentato al convegno Subelliptic pde's and applications to geometry and finance tenutosi a Cortona nel 12-17 giugno 2006).
Compensated compactness, div--curl theorem and $H$-convergence in general Heisenberg groups
BALDI, ANNALISA;FRANCHI, BRUNO;TESI, MARIA CARLA
2007
Abstract
In this paper we present some recent results concerning existence and estimates of the fundamental solution for hypoelliptic differential operators in the contact complex of Heisenberg groups, and their application to the compensated compactess for intrinc Heisenberg differential forms. As a consequence, we prove a general div--rot theorem for horizontal vector fields and a compactness theorem with respect to the $H$--convergence of differential operators in general Heisenberg groups $he n$ with $nge 1$.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
