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Quasilinear parabolic equations. (English) Zbl 0219.35054

MSC:
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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References:
[1] F.E. Browder , Problèmes non-linéaires (Seminar de Mathématiques Supérieures : University of Montreal Press , 1966 ). Zbl 0153.17302 · Zbl 0153.17302
[2] D.E. Edmunds and L.A. Peletieh , Équations paraboliques quasitinéaires , Comptes rendus Acad. Sci. Paris , 269 ( 1969 ), 517 - 519 . Zbl 0182.14001 · Zbl 0182.14001
[3] A. Friedman , Partial differential equations of parabolic type , Prentice-Hall : New Jersey , 1964 MR 181836 | Zbl 0144.34903 · Zbl 0144.34903
[4] O.A. Ladyzhenskaya and N.N. Ural’tseva , Boundary problems for linear and quasilinear parabolic equations , Amer. Math. Soc Transl. 47 ( 1965 ) 217 - 299 . Zbl 0149.31301 · Zbl 0149.31301
[5] O.A. Ladyzhenskava , N.N. Ural’tsfva and V. Solonnikov , Linear and quasilinear parabolic equations , Amer. Math. Soc. Translations of Math. Monographs , Vol. 23 ( 1968 ). Zbl 0174.15403 · Zbl 0174.15403
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[8] N.S. Trudinger , Pointwise estimates and quasilinear parabolic equations , Comm. Pure and Appl. Maths , 21 ( 1968 ), 205 - 226 . MR 226168 | Zbl 0159.39303 · Zbl 0159.39303 · doi:10.1002/cpa.3160210302
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