Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions | Zendy

Meise Reinhold | Zendy; Taylor B. Alan | Zendy; Vogt Dietmar | Zendy

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Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions

Author(s) -

Meise Reinhold,

Taylor B. Alan,

Vogt Dietmar

Publication year - 1996

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.3211800110

Subject(s) - mathematics , inverse , differential operator , constant coefficients , constant (computer programming) , pure mathematics , linear operators , mathematical analysis , set (abstract data type) , linear differential equation , differential (mechanical device) , partial differential equation , geometry , computer science , bounded function , programming language , engineering , aerospace engineering

Characterizations are given of those linear partial differential operators with constant coefficients which admit a continuous linear right inverse on ε (ω( )ω) )resp. ε [ω] (Ω) and/or D′ (ω) (Ω) (resp. D′ [ω] (Ω), where Ω is an open set in ℝ n . The characterisations are in the same spirit as in the previous results of the authors on the existence of right inverses on C ∞ and/or D′(Ω).

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