On the Hölder continuity of solutions of nonlinear parabolic systems

E. A. Kalita

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 4, page 675-680
  • ISSN: 0010-2628

Abstract

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Non-linear second order parabolic systems in the divergent form are considered. It is proved that under some restrictions on the modulus of ellipticity, all weak solutions are continuous.

How to cite

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Kalita, E. A.. "On the Hölder continuity of solutions of nonlinear parabolic systems." Commentationes Mathematicae Universitatis Carolinae 35.4 (1994): 675-680. <http://eudml.org/doc/247602>.

@article{Kalita1994,
abstract = {Non-linear second order parabolic systems in the divergent form are considered. It is proved that under some restrictions on the modulus of ellipticity, all weak solutions are continuous.},
author = {Kalita, E. A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-linear parabolic systems; weak solutions; regularity; Hölder continuity; nonlinear second order parabolic systems},
language = {eng},
number = {4},
pages = {675-680},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the Hölder continuity of solutions of nonlinear parabolic systems},
url = {http://eudml.org/doc/247602},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Kalita, E. A.
TI - On the Hölder continuity of solutions of nonlinear parabolic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 4
SP - 675
EP - 680
AB - Non-linear second order parabolic systems in the divergent form are considered. It is proved that under some restrictions on the modulus of ellipticity, all weak solutions are continuous.
LA - eng
KW - non-linear parabolic systems; weak solutions; regularity; Hölder continuity; nonlinear second order parabolic systems
UR - http://eudml.org/doc/247602
ER -

References

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  1. Kalita E.A., On sharp exponent of smoothness of solutions to the second order elliptic systems (in Russian), Izvestija Vyshyh Uchebnych Zavedenij. Matematika (1992), 3 10-17. (1992) MR1204810
  2. Koshelev A.I., Chelkak S.I., Regularity of solutions of quasilinear elliptic systems, Teubner Leipzig (1985). (1985) Zbl0581.35003MR0825485
  3. Koshelev A.I., Regularity of solutions for some quasilinear parabolic systems, Math. Nachr. 162 (1993), 59-88. (1993) Zbl0811.35064MR1239576
  4. Giaquinta M., Modica G., Regularity results for some classes of higher order non linear elliptic systems, J. Reine Angew. Math. 311/312 145-169. Zbl0409.35015MR0549962

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