@article{ASNSP_1986_4_13_2_193_0,
author = {Tolksdorf, Peter},
title = {On some parabolic variational problems with quadratic growth},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {193--223},
year = {1986},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 13},
number = {2},
mrnumber = {876122},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1986_4_13_2_193_0/}
}
TY - JOUR AU - Tolksdorf, Peter TI - On some parabolic variational problems with quadratic growth JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1986 SP - 193 EP - 223 VL - 13 IS - 2 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1986_4_13_2_193_0/ LA - en ID - ASNSP_1986_4_13_2_193_0 ER -
%0 Journal Article %A Tolksdorf, Peter %T On some parabolic variational problems with quadratic growth %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1986 %P 193-223 %V 13 %N 2 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1986_4_13_2_193_0/ %G en %F ASNSP_1986_4_13_2_193_0
Tolksdorf, Peter. On some parabolic variational problems with quadratic growth. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 13 (1986) no. 2, pp. 193-223. https://www.numdam.org/item/ASNSP_1986_4_13_2_193_0/
[1] - , Quasilinear elliptic-parabolic differential equations, Preprint Nr. 568 des SFB 72, Universität Bonn, 1983. | MR
[2] , Regularity theorems for weak solutions of some nonlinear systems, Comm. Pure Appl. Math., 35 (1982), pp. 771-782. | Zbl | MR
[3] , Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., Ser. 3, 3 (1957), pp. 25-43. | Zbl | MR
[4] - , An optimal regularity result for a class of quasilinear parabolic systems, Manuseripta Math., 36 (1981), pp. 223-239. | Zbl | MR
[5] - , On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z., 179 (1982), pp. 437-451. | Zbl | MR
[6] - , Elliptic partial differential equations of second order, Springer-Verlag, Berlin, 1977. | Zbl | MR
[7] , Harmonic maps of manifolds with boundary, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1975. | Zbl | MR
[8] - , Some regularity results for quasilinear elliptic systems of second order, Math. Z., 142 (1975), pp. 67-86. | Zbl | MR
[9] - , On the Hölder-continuity of weak solutions of quasilinear elliptic systems of second order, Ann. Scuola Norm. Sup. Pisa Cl, Sci., 4 (1977), pp. 145-178. | Zbl | MR | Numdam
[10] - , Variational inequalities for vector-valued functions, J. Reine Angew. Math., 309 (1979), pp. 191-220. | Zbl | MR
[11] , Ein Existeuzbeweis, für harmonische Abbitdungen, die ein Dirichlet-problem lösen, mittels der Methode des Warmeflusses, Manuscripta Math., 34 (1981), pp. 17-25. | Zbl | MR
[12] , Ein Maximumprinzip für nichtlineare parabolische Systeme, Math. Z., 171 (1980), pp. 227-230. | Zbl | MR
[13] - - , Linear and quasilinear equations of parabolic type, Translations Math. Monograph, 23, Amer. Math. Soc., Providence, R.I., 1968. | Zbl
[14] - , Linear and quasilinear elliptic equations, Academic Press, New York, 1968. | Zbl | MR
[15] , On the Hölder-continuity of bounded weak solutions of quasilinear parabolic systems, Monograph Math., 35 (1981), pp. 223-239. | Zbl | MR
[16] , A counterexample in regularity theory for parabolic systems, Comm, Math. Univ. Carol., to appear. | MR
[17] - , On the regularity of quasilinear parabolic variational inequalities, preprint.
[18] , A new proof of a regularity theorem, Invent. Math., 71 (1983), pp. 43-49. | Zbl | MR
[19] , A Strong Maximum Principle and regularity for harmonic mappings, preprint. | MR
[20] , Basic linear partial differential equations, Academic Press, New York, 1975. | Zbl | MR
[21] , Klassische Lösbarkeit im Groβen für nichtlineare parabolische Systeme und das Verhalten der Losungen für t → ∞, Preprint Nr. 395 des SFB 72, Universität Bonn, 1980.





