We study the local regularity of the analytic/Gevrey vectors for the general class of Hörmander’s operators, meaning those of degenerate elliptic type or of degenerate parabolic type, thus improving the result obtained by M. Derridj in 2019 (Tunisian J Math 1(3):321–345, 2019). The optimal result in the degenerate elliptic case was obtained by the second author in 2019 (Pac J Math 302:511–543, 2019), and we obtain in this chapter optimal result in the degenerate parabolic case.
Chinni, G., Derridj, M. (2024). On the Local Regularity of the Gevrey Vectors for Hörmander’s Operators. Department of Mathematics, University of Maryland, College Park, College Park, USA Shiferaw Berhanu Department of Arts and Sciences, Texas A&M University at Qatar, Doha, Qatar Nordine Mir Department of Mathematics, Federal University of São Carlos, São Carlos, Brazil Gustavo Hoepfner : Shiferaw Berhanu, Nordine Mir, Gustavo Hoepfner [10.1007/978-3-031-69702-9_5].
On the Local Regularity of the Gevrey Vectors for Hörmander’s Operators
Chinni, Gregorio
;Derridj, Makhlouf
2024
Abstract
We study the local regularity of the analytic/Gevrey vectors for the general class of Hörmander’s operators, meaning those of degenerate elliptic type or of degenerate parabolic type, thus improving the result obtained by M. Derridj in 2019 (Tunisian J Math 1(3):321–345, 2019). The optimal result in the degenerate elliptic case was obtained by the second author in 2019 (Pac J Math 302:511–543, 2019), and we obtain in this chapter optimal result in the degenerate parabolic case.| File | Dimensione | Formato | |
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Gevrey_vectors_local_HorOp_vf.pdf
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