On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities

J. Naumann

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 83, page 55-70
  • ISSN: 0041-8994

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Naumann, J.. "On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities." Rendiconti del Seminario Matematico della Università di Padova 83 (1990): 55-70. <http://eudml.org/doc/108183>.

@article{Naumann1990,
author = {Naumann, J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Hölder continuity of the gradient},
language = {eng},
pages = {55-70},
publisher = {Seminario Matematico of the University of Padua},
title = {On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities},
url = {http://eudml.org/doc/108183},
volume = {83},
year = {1990},
}

TY - JOUR
AU - Naumann, J.
TI - On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 83
SP - 55
EP - 70
LA - eng
KW - Hölder continuity of the gradient
UR - http://eudml.org/doc/108183
ER -

References

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  1. [1] R. Amato, Alcuni risultati di regolarità per una classe di sistemi parabolici quasi lineare del secondo ordine, Le Matematiche, 39 (1984), pp. 133-142. Zbl0646.35045
  2. [2] S. Campanato - P. Cannarsa, Differentiability and partial Hölder continuity of the solutions of nonlinear elliptic systems of order 2m with quadratic growth, Ann. Scuola Norm. Sup. Pisa, serie IV, 8 (1981), pp. 285-309. Zbl0474.35048MR623938
  3. [3] L. Fattorusso, Sulla differenziabilità delle soluzioni di sistemi parabolici non lineari del secondo ordine ad andamento quadratico, Boll. Un. Mat. Ital., (7) 1-B (1987), pp. 741-764. Zbl0656.35061
  4. [4] M. Giaquinta - M. STRUWE, On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z., 179 (1982), pp. 437-451. Zbl0469.35028MR652852
  5. [5] M. Marino - A. Maugeri, Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth, Rend. Sem. Mat. Univ. Padova, 76 (1986), pp. 219-245. Zbl0622.35030MR881572
  6. [6] M. Marino - A. Maugeri, Partial Hölder continuity of solutions of nonlinear parabolic systems of second order with quadratic growth (to appear). Zbl0687.35024MR998004
  7. [7] D. Sacchetti - A. TARSIA, Sulla regolarità della soluzione del problema di Cauchy per un'equazione astratta del primo ordine in spazi di Hilbert, Le Matematiche, 38 (1983), pp. 3-32. Zbl0666.34070
  8. [8] K. Yosida, Functional analysis, Springer-Verlag, Berlin, Göttingen, Heidelberg (1965). Zbl0126.11504

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