Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth

Mario Marino; Antonino Maugeri

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 76, page 219-245
  • ISSN: 0041-8994

How to cite

top

Marino, Mario, and Maugeri, Antonino. "Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth." Rendiconti del Seminario Matematico della Università di Padova 76 (1986): 219-245. <http://eudml.org/doc/108043>.

@article{Marino1986,
author = {Marino, Mario, Maugeri, Antonino},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {spatial gradient; natural growths; partial Hölder continuity; weak solution},
language = {eng},
pages = {219-245},
publisher = {Seminario Matematico of the University of Padua},
title = {Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth},
url = {http://eudml.org/doc/108043},
volume = {76},
year = {1986},
}

TY - JOUR
AU - Marino, Mario
AU - Maugeri, Antonino
TI - Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 76
SP - 219
EP - 245
LA - eng
KW - spatial gradient; natural growths; partial Hölder continuity; weak solution
UR - http://eudml.org/doc/108043
ER -

References

top
  1. [1] S. Campanato, Equazioni paraboliche del secondo ordine e spazi £2,θ(Ω, δ), Ann. Mat. Pura Appl., 73 (1966), pp. 55-102. Zbl0144.14101
  2. [2] S. Campanato, Maggiorazioni interpolatorie negli spazi Hλ m,p(Ω), Ann. Mat. Pura Appl., 75 (1967), pp. 261-276. Zbl0183.41201
  3. [3] S. Campanato, Partial Hölder continuity of the gradient of solutions of some nonlinear elliptic systems, Rend. Sem. Mat. Padova, 59 (1978), pp. 147-165. Zbl0428.35013MR547083
  4. [4] S. Campanato, Sistemi ellittici in forma divergenza. Regolarità all'interno, « Quaderni» Ann. Scuola Norm. Sup. Pisa, 1980. Zbl0453.35026MR668196
  5. [5] S. Campanato, Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth, Rend. Sem. Mat. Padova, 64 (1981), pp. 59-75. Zbl0496.35012MR636626
  6. [6] S. Campanato, Lp regularity and partial Hölder continuity for solutions of second order parabolic systems with strictly controlled growth, Ann. Mat. Pura Appl., 128 (1981), pp. 287-316. Zbl0497.35014MR640787
  7. [7] S. Campanato, On the nonlinear parabolic systems in divergence form. Hölder continuity and partial Hölder continuity of the solutions, Ann. Mat. Pura Appl., 137 (1984), pp. 83-122. Zbl0704.35024MR772253
  8. [8] 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, (4), 8 (1981), pp. 285-309. Zbl0474.35048MR623938
  9. [9] P. Cannarsa, Second order non variational parabolic systems, Boll. Un. Mat. Ital., (5), 18-C (1981), pp. 291-315. Zbl0473.35043MR631584
  10. [10] G. Da Prato, Spazi £(p,θ)(Ω, δ) e loro proprietà, Ann. Mat. Pura Appl., 69 (1965), pp. 383-392. Zbl0145.16207
  11. [11] E. Giusti, Precisazione delle funzioni H1,p e singolarità delle soluzioni deboli di sistemi ellittici non lineari, Boll. Un. Mat. Ital., 2 (1969), pp. 71-76. Zbl0175.40103MR243190
  12. [12] F. John - L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math., 14 (1961), pp. 415-426. Zbl0102.04302MR131498
  13. [13] O.A. Ladyzekskaja - V.A. Solonnikov - N.N. Ural'ceva, Linear and quasilinear equations of parabolic type, Translations of Mathematical Monographs, Vol. 23, Amer. Mathem. Society, Providence, 1968. Zbl0174.15403
  14. [14] J.L. Lions, Equations differentielles opérationnelles et problèmes aux limites, Grundlehren B. 111, Springer-Verlag, Berlin, 1961. Zbl0098.31101MR153974

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.