简介：Inthispaper,weusecontractionmappingprinciple,operator-theoreticapproachandsomeuniformestimatestoestablishlocalsolvabilityoftheparabolic-hyperbolictypechemotaxissystemwithfixedboundaryin1-dimensionaldomain.Inaddition,localsolvabilityofthefreeboundaryproblemisconsideredbystraighteningthefreeboundary.
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