Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth

Sergio Campanato

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 64, page 59-75
  • ISSN: 0041-8994

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Campanato, Sergio. "Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth." Rendiconti del Seminario Matematico della Università di Padova 64 (1981): 59-75. <http://eudml.org/doc/107802>.

@article{Campanato1981,
author = {Campanato, Sergio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {partial Hölder continuity; quasilinear parabolic systems of second order with linear growth},
language = {eng},
pages = {59-75},
publisher = {Seminario Matematico of the University of Padua},
title = {Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth},
url = {http://eudml.org/doc/107802},
volume = {64},
year = {1981},
}

TY - JOUR
AU - Campanato, Sergio
TI - Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 64
SP - 59
EP - 75
LA - eng
KW - partial Hölder continuity; quasilinear parabolic systems of second order with linear growth
UR - http://eudml.org/doc/107802
ER -

References

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  1. [1] S. Campanato, Equazioni paraboliche del secondo ordine e spazi £2,θ(Ω, δ), Ann. Mat. Pura e Appl., 73 (1966). Zbl0144.14101
  2. [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). Zbl0316.34069MR397100
  3. [3] S. Campanato, Regolarità C0,α e regolarità Lp per soluzioni del problema di Cauchy astratto senza l'ipotesi di simmetria, Boll. U.M.I., 14-A (1977). Zbl0356.34063
  4. [4] S. Campanato, Partial Hölder continuity of the gradient of solutions of some nonlinear elliptic systems, Rend. Sem. Mat. Univ. Padova, 59 (1978). Zbl0428.35013MR547083
  5. [5] S. Campanato, Lp regularity for weak solutions of parabolic systems, Ann. S.N.S. di Pisa, 7 (1980). Zbl0456.35009MR577326
  6. [6] S. Campanato - P. CANNARSA, Second order non variational elliptic systems, Boll. U.M.I.17-B (1980). Zbl0449.35033MR770854
  7. [7] S. Campanato, Sistemi ellittici in forma divergenza. Regolarità all'interno, to appear in « Quaderni » S.N.S. di Pisa (1980). Zbl0453.35026MR668196
  8. [8] G. Da Prato, Spazi £(p,θ)(Ω, δ) e loro proprietà, Ann. di Matem. Pura e Appl., 69 (1965). Zbl0145.16207
  9. [9] M. Giaquinta - E. Giusti, Partial regularity for the solutions to nonlinear parabolic systems, Ann. di Matem. Pura e Appl., 97 (1973). Zbl0276.35062MR338568
  10. [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). Zbl0174.15403MR241822
  11. [11] J.L. Lions, Equations differentielles operationelles, Springer (1961). MR153974

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