Some regularity results for quasi-linear parabolic systems
Commentationes Mathematicae Universitatis Carolinae, Tome 26 (1985) no. 1, pp. 129-150 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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     url = {http://geodesic.mathdoc.fr/item/CMUC_1985_26_1_a7/}
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Struwe, Michael. Some regularity results for quasi-linear parabolic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 26 (1985) no. 1, pp. 129-150. http://geodesic.mathdoc.fr/item/CMUC_1985_26_1_a7/

[1] Aronson D. G.: Non-negative solutions of linear parabolic equations. Ann. Sc. Norm. Sup. Pisa 22 (1968), 607-694. | MR | Zbl

[2] Biroli M.: Existence of a Hölder continuous solution of a parabolic obstacle problem with quadratic growth nonlinearities. Boll. U.M.I. (6) 2-A (1983), 311-319. | MR | Zbl

[3] Campanato S.: Equazioni ellittiche del secondo ordine e spazi $e^{2,\lambda}$. Ann. Mat. Pura Appl. 69 (1965), 321-380. | MR

[4] Campanato S.: Equazioni paraboliche del secondo ordine e spazi $e^{2,\theta} (\omega,\delta)$ e loro proprietà. Ann. Mat. Pura Appl. 73 (1966), 55-102. | MR

[5] Da Prato G.: Spazi $L^{p,\theta} (\omega,\delta)$ e loro proprietà. Ann. Mat. Pura Appl. 69 (1965), 383-392. | MR

[6] Gehring F. W.: The $L^p$ -integrability of the partial derivatives of a quasiconformal mapping. Acta Math. 130 (1973), 265-277. | MR

[7] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. SFB-72 lecture notes 6, University of Bonn (1981). | MR

[8] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Ann. Math. Studies 105, Princeton Univ. Press (1983). | MR | Zbl

[9] Giaquinta M. E. Giusti: Quasi-minima. Ann. Inst. H. Poincaré, Anal. Nonlin, (to appear 1984).

[10] Giaquinta M. S. Hildebrandt: Estimation á-priori des solutions faibles de certains systèmes non linéaires elliptiques. Sém. Goulanič-Meyer-Schwartz 198 (1981), expos. 17. | MR

[11] Giaquinta M. G. Modioa: Regularity results for some classes of higher order elliptic systems. J. Reine Angew. Math. 311/312 (1979), 145-169. | MR

[12] Giaquinta M. M. Struwe: An optimal regularity result for a class of quasilinear parabolic systems. manusc. math. 36 (1981), 223-239. | MR

[13] Giaquinta M. M. Struwe: On the partial regularity of weak solutions of nonlinear parabolic systems. Math. Z. 179 (1982), 437-451. | MR

[14] Hildebrandt S. K. O. Widman: Some regularity results for quasilinear elliptic systems of second order. Math. Z. 142 (1975), 67-86. | MR

[15] Hildebrandt S. K. O. Widman: On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Ann. Sc. Norm. Sup. Pisa, Ser. 4, 4 (1977), 145-178. | MR

[16] Ladyshenskaya O. A. V. A. Solonnikov N. N. Ural'ceva: Linear and quasilinear equations of parabolic type. Transl. Math. Monogr. 23, AMS, Providence, R.I. (1968).

[17] Ladyshenskaya O. A. N. N. Ural'ceva: Linear and quasilinear elliptic equations. Acad. Press, New York (1969).

[18] Morrey C. B.: Multiple integrals in the calculus of variations. Springer, Berlin - Heidelberg - New York (1966). | MR | Zbl

[19] Moser J.: A Harnack inequality for parabolic differential equations. Comm. Pure Appl. Math. 17 (1964), 101-134, Errata, ibid. 20 (1967), 231-236. | MR | Zbl

[20] Struwe M.: On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems. manusc. math. 35 (1981), 125-145. | MR | Zbl

[21] Struwe M.: A counterexample in regularity theory for parabolic systems. Comm. Univ. Mat. Carol. (to appear). | MR | Zbl

[22] Struwe M. M. A. Vivaldi: On the Hölder continuity of bounded weak solutions of quasi-linear parabolic inequalities. Ann. Mat. Pura Appl. (to appear)

[23] Tolksdorf P.: On some parabolic variational problems with quadratic growth. preprint. | MR

[24] Trudinger N. S.: Pointwise estimates and quasilinear parabolic equations. Comm. Pure Appl. Math. 21 (1968), 205-226. | MR | Zbl

[25] Wiegner M.: Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptiseher Systeme. Math. Z. 147 (1976), 21-28. | MR