Surjectivity of partial differential operators on ultradistributions of Beurling type in two dimensions
Tom 201 / 2010
Studia Mathematica 201 (2010), 87-102
MSC: Primary 35E10, 46F05, 46F10;
Secondary 46E10.
DOI: 10.4064/sm201-1-7
Streszczenie
We show that if ${\mit\Omega}$ is an open subset of $\mathbb R^2$, then the surjectivity of a partial differential operator $P(D)$ on the space of ultradistributions $\mathscr{D}'_{(\omega)}({\mit\Omega})$ of Beurling type is equivalent to the surjectivity of $P(D)$ on $C^\infty({\mit\Omega})$.
