Counterexample to the regularity of weak solution of the quasilinear parabolic system

Jana Stará; Oldřich John; Jan Malý

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 1, page 123-136
  • ISSN: 0010-2628

How to cite

top

Stará, Jana, John, Oldřich, and Malý, Jan. "Counterexample to the regularity of weak solution of the quasilinear parabolic system." Commentationes Mathematicae Universitatis Carolinae 027.1 (1986): 123-136. <http://eudml.org/doc/17443>.

@article{Stará1986,
author = {Stará, Jana, John, Oldřich, Malý, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {counterexample to the continuity; quasilinear; bounded solution; Lipschitz continuous; discontinuity},
language = {eng},
number = {1},
pages = {123-136},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Counterexample to the regularity of weak solution of the quasilinear parabolic system},
url = {http://eudml.org/doc/17443},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Stará, Jana
AU - John, Oldřich
AU - Malý, Jan
TI - Counterexample to the regularity of weak solution of the quasilinear parabolic system
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 1
SP - 123
EP - 136
LA - eng
KW - counterexample to the continuity; quasilinear; bounded solution; Lipschitz continuous; discontinuity
UR - http://eudml.org/doc/17443
ER -

References

top
  1. M. STRUWE, A counterexample in regularity theory for parabolic systems, Czech. Math. Journal 34 (109) (1984), 183-188. (1984) Zbl0573.35053MR0743484
  2. M. STRUWE, On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems, Manuscripta Math, 35 (1981), 125-145. (1981) Zbl0519.35007MR0627929
  3. M. GIAQUINTA M. STRUWE, An optimal regularity result for quasilinear parabolic systems, Manuscripta Math. 36 (1981), 223-239. (1981) MR0641975
  4. M. GIAQUINTA E. GIUSTI, Partial regularity for the solutions to nonlinear parabolic systems, Annali di Matematica Pura ed Appl. 97 (1973), 253-266. (1973) MR0338568
  5. S. CAMPANATO, Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth, Rend. Sem. Mat. Univ. Padova, Vol. 64 (1981), 60-75. (1981) Zbl0496.35012MR0636626
  6. M. GIAQUINTA M. STRUWE, 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.