| Title:
|
Some regularity results for quasi-linear parabolic systems (English) |
| Author:
|
Struwe, Michael |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
129-150 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35D10 |
| MSC:
|
35K55 |
| idZBL:
|
Zbl 0572.35057 |
| idMR:
|
MR797297 |
| . |
| Date available:
|
2008-06-05T21:20:26Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106351 |
| . |
| Reference:
|
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| Reference:
|
[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. Zbl 0529.49002, MR 0724483 |
| Reference:
|
[3] Campanato S.: Equazioni ellittiche del secondo ordine e spazi $e^{2,\lambda}$.Ann. Mat. Pura Appl. 69 (1965), 321-380. MR 0192168 |
| Reference:
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[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 0213737 |
| Reference:
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[5] Da Prato G.: Spazi $L^{p,\theta} (\omega,\delta)$ e loro proprietà.Ann. Mat. Pura Appl. 69 (1965), 383-392. MR 0192330 |
| Reference:
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[6] Gehring F. W.: The $L^p$ -integrability of the partial derivatives of a quasiconformal mapping.Acta Math. 130 (1973), 265-277. MR 0402038 |
| Reference:
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[7] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems.SFB-72 lecture notes 6, University of Bonn (1981). MR 0717034 |
| Reference:
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[8] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems.Ann. Math. Studies 105, Princeton Univ. Press (1983). Zbl 0516.49003, MR 0717034 |
| Reference:
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[9] Giaquinta M. E. Giusti: Quasi-minima.Ann. Inst. H. Poincaré, Anal. Nonlin, (to appear 1984). |
| Reference:
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[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 0657986 |
| Reference:
|
[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 0549962 |
| Reference:
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[12] Giaquinta M. M. Struwe: An optimal regularity result for a class of quasilinear parabolic systems.manusc. math. 36 (1981), 223-239. MR 0641975 |
| Reference:
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[13] Giaquinta M. M. Struwe: On the partial regularity of weak solutions of nonlinear parabolic systems.Math. Z. 179 (1982), 437-451. MR 0652852 |
| Reference:
|
[14] Hildebrandt S. K. O. Widman: Some regularity results for quasilinear elliptic systems of second order.Math. Z. 142 (1975), 67-86. MR 0377273 |
| Reference:
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[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 0457936 |
| Reference:
|
[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). |
| Reference:
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[17] Ladyshenskaya O. A. N. N. Ural'ceva: Linear and quasilinear elliptic equations.Acad. Press, New York (1969). |
| Reference:
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[18] Morrey C. B.: Multiple integrals in the calculus of variations.Springer, Berlin - Heidelberg - New York (1966). Zbl 0142.38701, MR 0202511 |
| Reference:
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[19] Moser J.: A Harnack inequality for parabolic differential equations.Comm. Pure Appl. Math. 17 (1964), 101-134, Errata, ibid. 20 (1967), 231-236. Zbl 0149.06902, MR 0159139 |
| Reference:
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[20] Struwe M.: On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems.manusc. math. 35 (1981), 125-145. Zbl 0519.35007, MR 0627929 |
| Reference:
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[21] Struwe M.: A counterexample in regularity theory for parabolic systems.Comm. Univ. Mat. Carol. (to appear). Zbl 0573.35053, MR 0743484 |
| Reference:
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[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) |
| Reference:
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[25] Wiegner M.: Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptiseher Systeme.Math. Z. 147 (1976), 21-28. MR 0407430 |
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