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
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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