Classical Solutions of Multidimensional Hele--Shaw Models

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Previous article Next article Classical Solutions of Multidimensional Hele--Shaw ModelsJoachim Escher and Gieri SimonettJoachim Escher and Gieri Simonetthttps://doi.org/10.1137/S0036141095291919PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractExistence and uniqueness of classical solutions for the multidimensional expanding Hele--Shaw problem are proved.[1] S. Agmon, , A. Douglis and , and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math., 12 (1959), pp. 623–727. cpa CPMAMV 0010-3640 Commun. Pure Appl. Math. CrossrefISIGoogle Scholar[2] Herbert Amann, Linear and quasilinear parabolic problems. Vol. I, Monographs in Mathematics, Vol. 89, Birkhäuser Boston Inc., 1995xxxvi+335, Abstract linear theory 96g:34088 CrossrefGoogle Scholar[3] Herbert Amann, Linear and quasilinear parabolic problems. 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