SOLVABILITY OF A PARABOLIC-HYPERBOLIC TYPE CHEMOTAXIS SYSTEM IN 1-DIMENSIONAL DOMAIN

(整期优先)网络出版时间:2016-05-15
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Inthispaper,weusecontractionmappingprinciple,operator-theoreticapproachandsomeuniformestimatestoestablishlocalsolvabilityoftheparabolic-hyperbolictypechemotaxissystemwithfixedboundaryin1-dimensionaldomain.Inaddition,localsolvabilityofthefreeboundaryproblemisconsideredbystraighteningthefreeboundary.