A note on regular points for solutions of parabolic systems

Eugen Viszus

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 3, page 557-563
  • ISSN: 0010-2628

Abstract

top
A vector valued function u = u ( x , t ) , solution of a quasilinear parabolic system cannot be too close to a straight line without being regular.

How to cite

top

Viszus, Eugen. "A note on regular points for solutions of parabolic systems." Commentationes Mathematicae Universitatis Carolinae 37.3 (1996): 557-563. <http://eudml.org/doc/247898>.

@article{Viszus1996,
abstract = {A vector valued function $u=u(x,t)$, solution of a quasilinear parabolic system cannot be too close to a straight line without being regular.},
author = {Viszus, Eugen},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {regularity of weak solutions; parabolic systems; regularity of weak solutions; quasilinear parabolic systems},
language = {eng},
number = {3},
pages = {557-563},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on regular points for solutions of parabolic systems},
url = {http://eudml.org/doc/247898},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Viszus, Eugen
TI - A note on regular points for solutions of parabolic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 3
SP - 557
EP - 563
AB - A vector valued function $u=u(x,t)$, solution of a quasilinear parabolic system cannot be too close to a straight line without being regular.
LA - eng
KW - regularity of weak solutions; parabolic systems; regularity of weak solutions; quasilinear parabolic systems
UR - http://eudml.org/doc/247898
ER -

References

top
  1. Giusti E., Modica G., A note on regular points for solutions of elliptic systems, Manusc. Math. 29 (1979), 417-426. (1979) Zbl0419.35015MR0545051
  2. Giusti E., Regolarita partiale delle soluzioni di sistemi ellittici quasilineari di ordine arbitrario, Ann. Scuola Norm. Sup. Pisa 23 (1969), 115-141. (1969) MR0247258
  3. Campanato S., Equazioni paraboliche del secondo ordine e spazi 2 , Θ ( Ø m e g a , δ ) , Ann. Mat. Pura Appl. 73 (1966), 55-102. (1966) MR0213737
  4. Giaquinta M., Giusti E., Partial regularity for the solutions to nonlinear parabolic systems, Ann. Mat. Pura Appl. 47 (1973), 253-266. (1973) Zbl0276.35062MR0338568
  5. Ladyzhenskaya O.A., Solonnikov V.A., Uralceva N.N., Linear and quasilinear equations of parabolic type, Translations of Math. Monographs 23, Providence, Rhode Island: AMS 1968. 
  6. Giaquinta M., Struwe M., On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z. 179 (1982), 437-451. (1982) MR0652852

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.