×

Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth. (English) Zbl 0496.35012


MSC:

35B65 Smoothness and regularity of solutions to PDEs
35K55 Nonlinear parabolic equations
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] S. Campanato , Equazioni paraboliche del secondo ordine e spazi £2,\theta (\Omega , \delta ) , Ann. Mat. Pura e Appl. , 73 ( 1966 ). Zbl 0144.14101 · Zbl 0144.14101
[2] S. Campanato - D. SACCHETTI - A. TARSIA, Risultati di regolarità per la soluzione del problema di Cauchy in spazi di Hilbert , Boll. U.M.I. , 12 ( 1975 ). MR 397100 | Zbl 0316.34069 · Zbl 0316.34069
[3] S. Campanato , Regolarità C0,\alpha e regolarità Lp per soluzioni del problema di Cauchy astratto senza l’ipotesi di simmetria , Boll. U.M.I. , 14-A ( 1977 ). Zbl 0356.34063 · Zbl 0356.34063
[4] S. Campanato , Partial Hölder continuity of the gradient of solutions of some nonlinear elliptic systems , Rend. Sem. Mat. Univ. Padova , 59 ( 1978 ). Numdam | MR 547083 | Zbl 0428.35013 · Zbl 0428.35013
[5] S. Campanato , Lp regularity for weak solutions of parabolic systems , Ann. S.N.S. di Pisa , 7 ( 1980 ). Numdam | MR 577326 | Zbl 0456.35009 · Zbl 0456.35009
[6] S. Campanato - P. CANNARSA, Second order non variational elliptic systems , Boll. U.M.I. 17-B ( 1980 ). MR 770854 | Zbl 0449.35033 · Zbl 0449.35033
[7] S. Campanato , Sistemi ellittici in forma divergenza. Regolarità all’interno , to appear in Quaderni S.N.S. di Pisa ( 1980 ). MR 668196 | Zbl 0453.35026 · Zbl 0453.35026
[8] G. Da Prato , Spazi £(p,\theta )(\Omega , \delta ) e loro proprietà , Ann. di Matem. Pura e Appl. , 69 ( 1965 ). Zbl 0145.16207 · Zbl 0145.16207
[9] M. Giaquinta - E. Giusti , Partial regularity for the solutions to nonlinear parabolic systems , Ann. di Matem. Pura e Appl. , 97 ( 1973 ). MR 338568 | Zbl 0276.35062 · Zbl 0276.35062
[10] O.A. Ladyzenskaja - V.A. Solonnikov - N.N. Ural’ceva , Linear and quasilinear equations of parabolic type , Amer. Mathem. Society , translations of mathematical monographs ( 1968 ). MR 241822 | Zbl 0174.15403 · Zbl 0174.15403
[11] J.L. Lions , Equations differentielles operationelles , Springer ( 1961 ). MR 153974 · Zbl 0098.31101
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.