# 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

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topStará, 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- M. STRUWE, A counterexample in regularity theory for parabolic systems, Czech. Math. Journal 34 (109) (1984), 183-188. (1984) Zbl0573.35053MR0743484
- M. STRUWE, On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems, Manuscripta Math, 35 (1981), 125-145. (1981) Zbl0519.35007MR0627929
- M. GIAQUINTA M. STRUWE, An optimal regularity result for quasilinear parabolic systems, Manuscripta Math. 36 (1981), 223-239. (1981) MR0641975
- 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
- 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
- M. GIAQUINTA M. STRUWE, On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z. 179 (1982), 437-451. (1982) MR0652852

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