Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions

@article{ThomasKalmes2010,
abstract = {We show that if Ω is an open subset of ℝ², then the surjectivity of a partial differential operator P(D) on the space of ultradistributions $^\{\prime \}_\{(ω)\}(Ω)$ of Beurling type is equivalent to the surjectivity of P(D) on $C^\{∞\}(Ω)$.},
author = {Thomas Kalmes},
journal = {Studia Mathematica},
keywords = {constant coefficient partial differential equation; ultradistribution of Beurling type; continuation of ultradifferentiability},
language = {eng},
number = {1},
pages = {87-102},
title = {Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions},
url = {http://eudml.org/doc/285641},
volume = {201},
year = {2010},
}

TY - JOUR
AU - Thomas Kalmes
TI - Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions
JO - Studia Mathematica
PY - 2010
VL - 201
IS - 1
SP - 87
EP - 102
AB - We show that if Ω is an open subset of ℝ², then the surjectivity of a partial differential operator P(D) on the space of ultradistributions $^{\prime }_{(ω)}(Ω)$ of Beurling type is equivalent to the surjectivity of P(D) on $C^{∞}(Ω)$.
LA - eng
KW - constant coefficient partial differential equation; ultradistribution of Beurling type; continuation of ultradifferentiability
UR - http://eudml.org/doc/285641
ER -