简介：ThispaperisconcernedwithanoptimalcontrolproblemofanablationtranspirationcoolingcontrolsystemwithStefan-Signoriniboundarycondition.Theexistenceofweaksolutionofthesystemisconsidered.TheDubovitskiiandMilyutinapproachisadoptedintheinvestigationofthePontryagin'smaximumprincipleofthesystem.Theoptimalitynecessaryconditionispresentedfortheproblemwithfixedfinalhorizonandphaseconstraints.
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