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Title: $C^\alpha$-regularity results for quasilinear parabolic systems (English)
Author: Bensoussan, Alain
Author: Frehse, Jens
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 31
Issue: 3
Year: 1990
Pages: 453-474
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Category: math
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MSC: 35B65
MSC: 35D10
MSC: 35K40
MSC: 35K55
idZBL: Zbl 0726.35032
idMR: MR1078480
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Date available: 2008-06-05T21:44:54Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106881
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Reference: [1] Aronson D. G.: Bounds for fundamental solution of a parabolic equation.Bull. Amer. Math. Soc. 73 (1968), 890-896. MR 0217444
Reference: [2] Bensoussan A., Frehse J.: Nonlinear elliptic systems in stochastic game theory.Journ. Reine u. Angew. Math. 350 (1984), 23-67. Zbl 0531.93052, MR 0743532
Reference: [3] Campanato S.: Equazioni paraboliche del secondo ordine e spazi $L^{2,0}(Ω,δ)$.Ann. Matem. Pura Appl. (4) 73 (1966), 55-102. MR 0213737
Reference: [4] Da Prato G.: Spazi $L^{p,0}$ e loro proprietà.Ann. Matem. Pura Appl. 69 (1965), 383-392. MR 0192330
Reference: [5] Frehse J.: Interpolation und Regularität bei Lösungen elliptischer Differentialungleichungen.Zeitschr. Angew. Math. u. Mech. 62 (1982), T227-T228. Zbl 0563.35029, MR 0677312
Reference: [6] Giaquinta M., Struwe M.: An optimal regularity result for a class of quasilinear parabolic systems.Manuscripta math. 36 (1981), 223-239. Zbl 0475.35026, MR 0641975
Reference: [7] Kufner A., John O., Fučík S.: Function Spaces.Academia, Praha 1977. MR 0482102
Reference: [8] Ladyženskaya O. A., Solonnikov V. A., Ural'seva N. N.: Linear and quasilinear equations of parabolic type.AMS, Providence, R.I., Transl. Math. Monogr. 23 (1968).
Reference: [9] Struwe M.: A counterexample in regularity theory for parabolic systems.Czech. Math. Journal 34 (109) (1984), 183-188. Zbl 0573.35053, MR 0743484
Reference: [10] Struwe M.: On the Hölder continuity of bounded weak solutions of quasilinear parabolic equations.Comm. Pure Appl. Math. 21 (1968), 205-226.
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