Smooth Solutions of systems of quasilinear parabolic equations

Free access article

Issue		ESAIM: COCV Volume 8, 2002 A tribute to JL Lions


Page(s)		169 - 193
DOI		10.1051/cocv:2002059

documentclasscocv par begintex2html_deferredrenewedcommandbaselinestretch1.1endtex2html_deferred par theoremstyledefinition par newedcommandiGGdova[2]Big( beginarrayc #1 #2 endarray Big) par usepackagehtml begindocumenttitleReferencesbeginthebibliographyCam66 par bibitem1 D.G. Aronson, Bounds for Fundamental Solution of a Parabolic Equation. em Bull. Amer. Math. Soc. bf 73 (1968) 890-896. par bibitem2 A. Bensoussan and J. Frehse, em Regularity of Solutions of Systems of Partial Differential Equations and Applications. Springer Verlag (to be published). par bibitemBF84 A. Bensoussan and J. Frehse, Nonlinear elliptic systems in stochastic game theory. em J. Reine Angew. Math. bf 350 (1984) 23-67. par bibitem4 A. Bensoussan and J. Frehse, C^alpha-Regularity Results for Quasi-Linear Parabolic Systems. em Comment. Math. Univ. Carolin. bf 31 (1990) 453-474. par bibitemBF94 A. Bensoussan and J. Frehse, Ergodic Bellman systems for stochastic games, in em Differential equations, dynamical systems, and control science. Dekker, New York (1994) 411-421. par bibitemBF95 A. Bensoussan and J. Frehse, Ergodic Bellman systems for stochastic games in arbitrary dimension. em Proc. Roy. Soc. London Ser. A bf 449 (1935) 65-77. par bibitemBF00 A. Bensoussan and J. Frehse, Stochastic games for N players. em J. Optim. Theory Appl. bf105 (2000) 543-565. Special Issue in honor of Professor David G. Luenberger. par bibitemBL84 A. Bensoussan and J.-L. Lions, em Impulse control and quasivariational inequalities. Gauthier-Villars (1984). Translated from the French by J.M. Cole. par bibitem5 S. Campanato, Equazioni paraboliche del secondo ordine e spazi L^2,theta(Omega ,delta ). em Ann. Mat. Pura Appl. (4) bf 73 (1966) 55-102. par bibitem6 G. Da Prato, Spazi L^{(p,theta )}(Omega,delta ) e loro proprietà. em Ann. Mat. Pura Appl. (4) bf 69 (1965) 383-392. par bibitem8 J. Frehse, Remarks on diagonal elliptic systems, in em Partial differential equations and calculus of variations. Springer, Berlin (1988) 198-210. par bibitem7 J. Frehse, em Bellman Systems of Stochastic Differential Games with three Players in Optimal Control and Partial Differential Equations, edited by J.L. Menaldi, E. Rofman and A. Sulem. IOS Press (2001). par bibitemHiWi S. Hildebrandt and K.-O. Widman, Some regularity results for quasilinear elliptic systems of second order. em Math. Z. bf 142 (1975) 67-86. par bibitemLL65 J. Leray and J.-L. Lions, Quelques résultats de Viv sik sur les problèmes elliptiques nonlinéaires par les méthodes de Minty-Browder. em Bull. Soc. Math. France bf 93 (1965) 97-107. par bibitemLSU O.A. Ladyvzenskaja, V.A. Solonnikov and N.N. Ural'ceva, em Linear and quasilinear equations of parabolic type. American Mathematical Society, Providence, R.I. (1967). par bibitemSTR2 M. Struwe, On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems. em Manuscripta Math. bf 35 (1981) 125-145. par bibitemWie M. Wiegner, Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. em Math. Z. bf 147 (1976) 21-28. par endthebibliography enddocument

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