@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}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 13}, number = {2}, year = {1986}, mrnumber = {876122}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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. http://archive.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. | MR | Zbl
,[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. | MR | Zbl
,[4] An optimal regularity result for a class of quasilinear parabolic systems, Manuseripta Math., 36 (1981), pp. 223-239. | MR | Zbl
- ,[5] On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z., 179 (1982), pp. 437-451. | MR | Zbl
- ,[6] Elliptic partial differential equations of second order, Springer-Verlag, Berlin, 1977. | MR | Zbl
- ,[7] Harmonic maps of manifolds with boundary, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1975. | MR | Zbl
,[8] Some regularity results for quasilinear elliptic systems of second order, Math. Z., 142 (1975), pp. 67-86. | MR | Zbl
- ,[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. | Numdam | MR | Zbl
- ,[10] Variational inequalities for vector-valued functions, J. Reine Angew. Math., 309 (1979), pp. 191-220. | MR | Zbl
- ,[11] Ein Existeuzbeweis, für harmonische Abbitdungen, die ein Dirichlet-problem lösen, mittels der Methode des Warmeflusses, Manuscripta Math., 34 (1981), pp. 17-25. | MR | Zbl
,[12] Ein Maximumprinzip für nichtlineare parabolische Systeme, Math. Z., 171 (1980), pp. 227-230. | MR | Zbl
,[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. | MR | Zbl
- ,[15] On the Hölder-continuity of bounded weak solutions of quasilinear parabolic systems, Monograph Math., 35 (1981), pp. 223-239. | MR | Zbl
,[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. | MR | Zbl
,[19] A Strong Maximum Principle and regularity for harmonic mappings, preprint. | MR
,[20] Basic linear partial differential equations, Academic Press, New York, 1975. | MR | Zbl
,[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.
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