On the sign of Colombeau funtions and appliations to onservation
laws
Comment.Math.Univ.Carolin. 50,2 (2009)245{264.
Abstrat:AgeneralizedoneptofsignisintroduedintheontextofColombeaualge-
bras. It extendsthe signof thepoint-value inthe ase ofsuÆientlyregular funtions.
This onept of generalized sign is then used to haraterize the entropy ondition for
disontinuoussolutionsofsalaronservationlaws.
Keywords:Colombeaualgebra,generalizedsign,onservationlaw,entropyondition
AMSSubjetClassiation:46F30,35L67
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