We study the Gevrey hypoellipticity of the sum of two squares in two variables, satisfying the Hörmander hypothesis: (Formula presented.) assuming that the function f, describing (the space projection of) its characteristic variety, vanishes at x=0. A hypoellipticity result is given in a Gevrey class, depending on f. In some examples the found regularity is known to be optimal.
Bove, A., Mughetti, M. (2026). Regularity for a sum of two squares in two variables with symplectic characteristic manifold. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE, 72(4), 1-24 [10.1007/s11565-026-00756-8].
Regularity for a sum of two squares in two variables with symplectic characteristic manifold
Bove A.;Mughetti M.
2026
Abstract
We study the Gevrey hypoellipticity of the sum of two squares in two variables, satisfying the Hörmander hypothesis: (Formula presented.) assuming that the function f, describing (the space projection of) its characteristic variety, vanishes at x=0. A hypoellipticity result is given in a Gevrey class, depending on f. In some examples the found regularity is known to be optimal.File in questo prodotto:
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