A counterexample in regularity theory for parabolic systems

Michael Struwe

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 2, page 183-188
  • ISSN: 0011-4642

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Struwe, Michael. "A counterexample in regularity theory for parabolic systems." Czechoslovak Mathematical Journal 34.2 (1984): 183-188. <http://eudml.org/doc/13442>.

@article{Struwe1984,
author = {Struwe, Michael},
journal = {Czechoslovak Mathematical Journal},
keywords = {continuity; Cauchy-Dirichlet problem; local estimates; Harnack's inequality},
language = {eng},
number = {2},
pages = {183-188},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A counterexample in regularity theory for parabolic systems},
url = {http://eudml.org/doc/13442},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Struwe, Michael
TI - A counterexample in regularity theory for parabolic systems
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 2
SP - 183
EP - 188
LA - eng
KW - continuity; Cauchy-Dirichlet problem; local estimates; Harnack's inequality
UR - http://eudml.org/doc/13442
ER -

References

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  1. Frehse J., 10.1007/BF01214096, Math. Z. 134, 229-230 (1973). (1973) Zbl0267.35038MR0344673DOI10.1007/BF01214096
  2. Giaquinta M., M. Struwe, 10.1007/BF01170135, manusc. math. 36, 223-239 (1981). (1981) MR0641975DOI10.1007/BF01170135
  3. Heinz E., On certain nonlinear elliptic differential equations and univalent mappings, J. Analyse math. 5, 197-272 (1956/57). (1956) MR0136852
  4. Hildebrandt S., K.-O. Widman, 10.1007/BF01214849, Math. Z. 142, 67-86 (1975). (1975) Zbl0317.35040MR0377273DOI10.1007/BF01214849
  5. Ladyshenskaya O. A. V. A. Solonnikov, N. N. Ural'ceva, Linear and quasilinear equations of parabolic type, Transl. Math. Monographs 23, AMS, Providence, R. I. (1968). (1968) 
  6. Sampson J. H., On the heat equation for harmonic maps, preprint. 
  7. Struwe M., 10.1007/BF01168452, Manusc. math. 35, 125-145 (1981). (1981) MR0627929DOI10.1007/BF01168452

Citations in EuDML Documents

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  1. Alain Bensoussan, Jens Frehse, C α -regularity results for quasilinear parabolic systems
  2. Jana Stará, Oldřich John, Jan Malý, Counterexample to the regularity of weak solution of the quasilinear parabolic system
  3. Jana Stará, Oldřich John, Some (new) counterexamples of parabolic systems
  4. Oldřich John, Jana Stará, On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property
  5. Frank Duzaar, Giuseppe Mingione, Second order parabolic systems, optimal regularity, and singular sets of solutions

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