Geodesic
Global Hypoellipticity of a Class of Second Order Operators
Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 301-305

Voir la notice de l'article provenant de la source Cambridge

DOI

We show that almost all perturbations P — λ, λ € C, of an arbitrary constant coefficient partial differential operator P are globally hypoelliptic on the torus. We also give a characterization of the values λ € C for which the operator is globally hypoelliptic; in particular, we show that the addition of a term of order zero may destroy the property of global hypoellipticity of operators of principal type, contrary to that happens with the usual (local) hypoellipticity.
DOI : 10.4153/CMB-1994-045-4
Mots-clés : 35H05, 35B10, 35B65, global hypoellipticity, periodic solutions 
Bergamasco, Adalberto P.; Zani, Sérgio Luís. Global Hypoellipticity of a Class of Second Order Operators. Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 301-305. doi: 10.4153/CMB-1994-045-4
@article{10_4153_CMB_1994_045_4,
     author = {Bergamasco, Adalberto P. and Zani, S\'ergio Lu{\'\i}s},
     title = {Global {Hypoellipticity} of a {Class} of {Second} {Order} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {301--305},
     year = {1994},
     volume = {37},
     number = {3},
     doi = {10.4153/CMB-1994-045-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-045-4/}
}
TY  - JOUR
AU  - Bergamasco, Adalberto P.
AU  - Zani, Sérgio Luís
TI  - Global Hypoellipticity of a Class of Second Order Operators
JO  - Canadian mathematical bulletin
PY  - 1994
SP  - 301
EP  - 305
VL  - 37
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-045-4/
DO  - 10.4153/CMB-1994-045-4
ID  - 10_4153_CMB_1994_045_4
ER  - 
%0 Journal Article
%A Bergamasco, Adalberto P.
%A Zani, Sérgio Luís
%T Global Hypoellipticity of a Class of Second Order Operators
%J Canadian mathematical bulletin
%D 1994
%P 301-305
%V 37
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-045-4/
%R 10.4153/CMB-1994-045-4
%F 10_4153_CMB_1994_045_4

Cité par Sources :