- and ${}^{\infty }$-hypoellipticity of partial differential operators with constant Colombeau coefficients

Claudia Garetto. "- and $^{∞}$-hypoellipticity of partial differential operators with constant Colombeau coefficients." Banach Center Publications 88.1 (2010): 111-131. <http://eudml.org/doc/281812>.

@article{ClaudiaGaretto2010,
abstract = {We provide a deep investigation of the notions of - and $^∞$-hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for - and $^∞$-hypoellipticity are given},
author = {Claudia Garetto},
journal = {Banach Center Publications},
keywords = {Colombeau algebras; hypoellipticity; fundamental solution},
language = {eng},
number = {1},
pages = {111-131},
title = {- and $^\{∞\}$-hypoellipticity of partial differential operators with constant Colombeau coefficients},
url = {http://eudml.org/doc/281812},
volume = {88},
year = {2010},
}

TY - JOUR
AU - Claudia Garetto
TI - - and $^{∞}$-hypoellipticity of partial differential operators with constant Colombeau coefficients
JO - Banach Center Publications
PY - 2010
VL - 88
IS - 1
SP - 111
EP - 131
AB - We provide a deep investigation of the notions of - and $^∞$-hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for - and $^∞$-hypoellipticity are given
LA - eng
KW - Colombeau algebras; hypoellipticity; fundamental solution
UR - http://eudml.org/doc/281812
ER -