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

Thomas Kalmes. "Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions." Studia Mathematica 201.1 (2010): 87-102. <http://eudml.org/doc/285641>.

@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 -