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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).