In this paper we consider the analogue of Kohn's operator but with a point singularity, % $$ P=BB^* + B^*(t^{2ell}+x^{2k})B, qquad B= D_{x} + i x^{q-1} D_{t}. $$ % We show that this operator is hypoelliptic and Gevrey hypoelliptic in a certain range, namely $k
Gevrey Hypoellipticity for an interesting variant of Kohn's operator / A. Bove; M. Mughetti; D.S. Tartakoff.. - STAMPA. - ---:(2010), pp. 51-74. (Intervento presentato al convegno Several complex variables and connections with PDE theory and geometry tenutosi a Vienna nel 2008) [10.1007/978-3-0346-0009-5_3].
Gevrey Hypoellipticity for an interesting variant of Kohn's operator
BOVE, ANTONIO;MUGHETTI, MARCO;
2010
Abstract
In this paper we consider the analogue of Kohn's operator but with a point singularity, % $$ P=BB^* + B^*(t^{2ell}+x^{2k})B, qquad B= D_{x} + i x^{q-1} D_{t}. $$ % We show that this operator is hypoelliptic and Gevrey hypoelliptic in a certain range, namely $kFile in questo prodotto:
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