We study the microlocal regularity of the analytic/Gevrey vectors for the a class of second order partial differential equations with real valued real Gevrey coefficients on open neighborhood of the origin, thus providing a microlocal version of a result due to Derridj (Complex Anal. Synerg. 6:10, 2020). The class of operators considered in this work generalizes the classes studied by Braun Rodrigues-Chinni-Cordaro-Jahnke (Proc. Am. Math. Soc. 144:5159–5170, 2016) and Chinni-Derridj (Math. Z. 302:1983–2003, 2022).
Chinni, G., Derridj, M. (2026). On the microlocal regularity of the Gevrey vectors for second order partial differential operators with non negative characteristic form of first kind. ANNALI DI MATEMATICA PURA ED APPLICATA, Annali di Matematica (2026), 1-58 [10.1007/s10231-026-01698-w].
On the microlocal regularity of the Gevrey vectors for second order partial differential operators with non negative characteristic form of first kind
Chinni, Gregorio;Derridj, Makhlouf
2026
Abstract
We study the microlocal regularity of the analytic/Gevrey vectors for the a class of second order partial differential equations with real valued real Gevrey coefficients on open neighborhood of the origin, thus providing a microlocal version of a result due to Derridj (Complex Anal. Synerg. 6:10, 2020). The class of operators considered in this work generalizes the classes studied by Braun Rodrigues-Chinni-Cordaro-Jahnke (Proc. Am. Math. Soc. 144:5159–5170, 2016) and Chinni-Derridj (Math. Z. 302:1983–2003, 2022).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
