Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Gregorio Chinni"'
Autor:
Gregorio Chinni
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 13, Iss 1, Pp 90-108 (2023)
We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type. Moreover we also
Externí odkaz:
https://doaj.org/article/db7b3f99d5b94f6d9e0e890bd714dde7
Autor:
Antonio Bove, Gregorio Chinni
Publikováno v:
Journal of Differential Equations. 327:109-126
We consider sums of squares operators globally defined on the torus. We show that if some assumptions are satisfied the operators are globally analytic hypoelliptic. The purpose of the assumptions is to rule out the existence of a Hamilton leaf on th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e697203bdbe53cc93d87e347d486c58b
https://doi.org/10.1016/j.jde.2022.04.013
https://doi.org/10.1016/j.jde.2022.04.013
Autor:
Gregorio Chinni
We prove a sharp Gevrey hypoellipticity for the operator D-x(2) + (x(2n+1)D(y))(2)+ (x(n)y(m)D(y))(2),in omega open neighborhood of the origin in R-2, where n and m are positive integers. The operator is a non trivial generalization of the M & eacute
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6aeb65a9fc9a6e12be027c21a93fc88
https://hdl.handle.net/11585/920131
https://hdl.handle.net/11585/920131
We consider the operator in (1.1) and prove that it is analytic hypoelliptic. This operator is linked to a stationary Schrödinger equation with a magnetic field and an anharmonic type potential. It is also a sum of squares of vector fields exhibitin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::759e24f5ce73cc319d9cf46aa5466183
https://hdl.handle.net/11585/928493
https://hdl.handle.net/11585/928493
Autor:
Gregorio Chinni, Makhlouf Derridj
We prove via FBI-transform a result concerning the microlocal Gevrey regularity of analytic vectors for operators sums of squares of vector fields with real-valued real analytic coefficients of H\"ormander type, thus providing a microlocal version, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54e5ed443107a3e9a261190748db3672
Autor:
Gregorio Chinni
Publikováno v:
Journal of Differential Equations. 265:906-920
The micro-local Gevrey regularity of a class of "sums of squares" with real analytic coefficients is studied in detail. Some partial regularity result is also given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a635c1d00ec17f3eaf2097b2b35e232f
https://doi.org/10.1016/j.jde.2018.03.018
https://doi.org/10.1016/j.jde.2018.03.018
Autor:
Gregorio Chinni, Antonio Bove
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 197:1201-1214
We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying Hörmander’s condition. The first is on the minimal Gevrey regularity: if a sum of squares with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc51edc5f0a98f4106308c7746868741
https://doi.org/10.1007/s10231-017-0720-x
https://doi.org/10.1007/s10231-017-0720-x
Autor:
Gregorio Chinni
Publikováno v:
Proceedings of the American Mathematical Society. 140:2417-2427
We prove hypoellipticity in the sense of germs for the operator \[ P = L q L ¯ q + L ¯ q t 2 k L q + Q 2 , \mathcal {P}= L_{q}\overline {L}_{q} + \overline {L}_{q}t^{2k}L_{q} +Q^{2}, \] where \[ L q = D t + i t q − 1 − Δ x and Q = x 1 D 2 −
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca9731680e0530058872c6da6d654bd8
https://doi.org/10.1090/s0002-9939-2011-11252-8
https://doi.org/10.1090/s0002-9939-2011-11252-8
Autor:
Gregorio Chinni
Publikováno v:
Revista Matemática Iberoamericana. :585-604
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfc3c3130499340352acadfe0ede1576
https://doi.org/10.4171/rmi/647
https://doi.org/10.4171/rmi/647
A theorem of minimal microlocal Gevrey regularity is proved for operators that are sums of squares of vector fields with real analytic coefficients, thus providing a microlocal version of a well-known theorem of Derridj and Zuily (“Regularite analy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ac9d5812a469f2f6299380fa2266b6d
http://hdl.handle.net/11585/81925
http://hdl.handle.net/11585/81925