Colombeau Generalized Functions and Solvability of Differential Operators | Zendy

Khaled Benmeriem | Zendy; Chikh Bouzar | Zendy

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Colombeau Generalized Functions and Solvability of Differential Operators

Author(s) -

Khaled Benmeriem,

Chikh Bouzar

Publication year - 2006

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1302

Subject(s) - differential (mechanical device) , mathematics , generalized function , differential operator , pure mathematics , calculus (dental) , medicine , physics , dentistry , thermodynamics

The aim of this paper is to prove that the well known non solvable Mizohatatype partial differential equations have Colombeau generalized solutions whichare distributions if and only if they are solv- able in the space of Schwartzdistributions. Therefore the Colombeau generalized solvability includes both anew solution concept and new mathematical objects as solutions.

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