Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities

J. Naumann; J. Wolf

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 98, page 253-272
  • ISSN: 0041-8994

How to cite

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Naumann, J., and Wolf, J.. "Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities." Rendiconti del Seminario Matematico della Università di Padova 98 (1997): 253-272. <http://eudml.org/doc/108447>.

@article{Naumann1997,
author = {Naumann, J., Wolf, J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {253-272},
publisher = {Seminario Matematico of the University of Padua},
title = {Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities},
url = {http://eudml.org/doc/108447},
volume = {98},
year = {1997},
}

TY - JOUR
AU - Naumann, J.
AU - Wolf, J.
TI - Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 98
SP - 253
EP - 272
LA - eng
UR - http://eudml.org/doc/108447
ER -

References

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  1. [1] R.A. Adams, Sobolev Spaces, Academic Press, Boston (1978). Zbl0314.46030
  2. [2] S. Campanato - P.-M. 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), 741-764. Zbl0656.35061
  4. [4] L. Fattorusso, Un rlsultato di differenziabilità per sistemi parabolici non lineari in ipotesi di monotonia, Rendiconti Circ. Mat. Palermo, serie II, 38 (1990), pp. 412-426. Zbl0733.35026MR1119738
  5. [5] J. Naumann, On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities., Rend. Sem. Mat. Univ. Padova, 83 (1990), pp. 55-70. Zbl0823.35027MR1066428
  6. [6] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, J.A. Barth, Heidelberg, Leipzig (1995). Zbl0830.46028MR1328645

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