Struwe, Michael On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems. (English) Zbl 0519.35007 Manuscr. Math. 35, 125-145 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 43 Documents MSC: 35B65 Smoothness and regularity of solutions to PDEs 35K55 Nonlinear parabolic equations Keywords:Hölder continuity; bounded weak solutions; quasilinear parabolic systems; main part in diagonal form; initial-boundary value problem; hole-filling technique Citations:Zbl 0164.123 PDFBibTeX XMLCite \textit{M. Struwe}, Manuscr. Math. 35, 125--145 (1981; Zbl 0519.35007) Full Text: DOI EuDML References: [1] ARONSON, D.G.: Non-negative solutions of linear parabolic equations. Ann. Sc. Norm. Sup. Pisa22, 607-694 (1968) · Zbl 0182.13802 [2] CAMPANATO, S.: Proprietá die hölderianitá di alcune classi di funzioni, Ann. Sc. Norm. Sup. Pisa17, 175-188 (1963) · Zbl 0121.29201 [3] DA PRATO, G.: Spazi(p, ?)(?, ?) e loro proprietá. Ann. Mat. Pura Appl.69, 383-392 (1965) · Zbl 0145.16207 [4] FREHSE, J. - MOSCO, U.: Variational inequalities with one-sided irregular obstacles, manusc. math.28, 219-233 (1979) · Zbl 0447.49006 [5] FREHSE, J.: On two-dimensional quasilinear elliptic systems, manusc. math.28, 21-49 (1979) · Zbl 0415.35025 [6] FREHSE, J.: Capacity methods in the theory of partial differential equations, to appear · Zbl 0486.35002 [7] HILDEBRANDT, S. - WIDMAN, K.-O.: Some regularity results for quasilinear elliptic systems of second order. Math. Z.142, 67-86 (1975) · Zbl 0317.35040 [8] HILDEBRANDT, S. - WIDMAN, K.-O.: On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Ann. Sc. Norm. Sup. Pisa Ser. 4,4, 145-178 (1977) · Zbl 0353.35013 [9] KUFNER, A. - JOHN, O. - FUCIK, A.: Function spaces. Academia, Prague (1977) [10] LADYSHENSKAYA, O.A. - SOLONNIKOV, V.A. - URAL’CEVA, N.N.: Linear and quasilinear equations of parabolic type. Translations Math. Monogr.23, AMS, Providence, R.I. (1968) [11] LADYSHENSKAYA, O.A. - URAL’CEVA, N.N.: Linear and quasilinear elliptic equations. Academic Press, New York (1968) [12] MOSER, J.: A Harnack inequality for parabolic differential equations. Comm. Pure Appl. Math.17, 101-134 (1964) · Zbl 0149.06902 [13] SPERNER, E., jr.: Ein Regularitätssatz für Systeme nichtlinearer elliptischer Differentialgleichungen. Math. Z.146, 57-68 (1976) · Zbl 0319.35037 [14] WIDMAN, K.-O.: Hölder continuity of solutions of elliptic systems, manusc. math.5, 299-308 (1971) · Zbl 0223.35044 [15] WIEGNER, M.: Über die Regularität schwacher Lösungen gewisser elliptischer Systeme. manusc. math.15, 365-384 (1975) · Zbl 0312.35035 [16] WIEGNER, M.: Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Math. Z.147, 21-28 (1976) · Zbl 0316.35039 [17] WIEGNER, M.: A-priori Schwanken für Lösungen gewisser elliptischer Systeme. manusc. math.18, 279-297 (1976) · Zbl 0323.35032 [18] WIEGNER, M.: Das Existenz- und Regularitätsproblem bei Systemen nichtlinearer elliptischer Differentialgleichungen, Habilitationsschrift, Bochum (1977) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.