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

100%

Kalmes T.

Studia Mathematica

2010

tom 201

nr 1

87-102

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 $𝒟'_{(ω)}(Ω)$ of Beurling type is equivalent to the surjectivity of P(D) on $C^{∞}(Ω)$.

Universal zero solutions of linear partial differential operators

63%

Kalmes T., Niess M.

Studia Mathematica

2010

tom 198

nr 1

33-51

A generalized approach to several universality results is given by replacing holomorphic or harmonic functions by zero solutions of arbitrary linear partial differential operators. Instead of the approximation theorems of Runge and others, we use an approximation theorem of Hörmander.

Ograniczanie wyników

2 Studia Mathematica

2 Kalmes T.

1 Niess M.

2 2010

Wyniki wyszukiwania

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

Universal zero solutions of linear partial differential operators