On regularity of solutions of nonlinear parabolic systems

Jindřich Nečas; Vladimír Šverák

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1991)

  • Volume: 18, Issue: 1, page 1-11
  • ISSN: 0391-173X

How to cite

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Nečas, Jindřich, and Šverák, Vladimír. "On regularity of solutions of nonlinear parabolic systems." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 18.1 (1991): 1-11. <http://eudml.org/doc/84094>.

@article{Nečas1991,
author = {Nečas, Jindřich, Šverák, Vladimír},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {bounded coefficients; quasilinear system; two-dimensional case},
language = {eng},
number = {1},
pages = {1-11},
publisher = {Scuola normale superiore},
title = {On regularity of solutions of nonlinear parabolic systems},
url = {http://eudml.org/doc/84094},
volume = {18},
year = {1991},
}

TY - JOUR
AU - Nečas, Jindřich
AU - Šverák, Vladimír
TI - On regularity of solutions of nonlinear parabolic systems
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1991
PB - Scuola normale superiore
VL - 18
IS - 1
SP - 1
EP - 11
LA - eng
KW - bounded coefficients; quasilinear system; two-dimensional case
UR - http://eudml.org/doc/84094
ER -

References

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  1. [1] S. Campanato, On the Nonlinear Parabolic Systems in Divergence Form. Hölder Continuity and Partial Hölder Continuity of the Solutions. Ann. Mat. Pura Appl., 137 (1984). Zbl0704.35024MR772253
  2. [2] M. Giaquinta, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Princeton University Press, 1983. Zbl0516.49003MR717034
  3. [3] M. Giaquinta - E. Giusti, Partial Regularity for the Solutions to Nonlinear Parabolic Systems, Ann. Mat. Pura Appl., 97 (1973). Zbl0276.35062MR338568
  4. [4] O.A. Ladyzenskaja - V.A. Solonnikov - N.N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Moscow, 1966. Zbl0164.12302MR241822
  5. [5] J Nečas, Introduction to the Theory of Nonlinear Elliptic Equations, Teubner-Texte zur Math.52, Leipzig, 1983. Zbl0526.35003MR731261

Citations in EuDML Documents

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  1. Joachim Naumann, Jörg Wolf, Michael Wolff, On the Hölder continuity of weak solutions to nonlinear parabolic systems in two space dimensions
  2. Arina A. Arkhipova, Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic growth nonlinearities I. On the continuability of smooth solutions
  3. Jana Stará, Oldřich John, Some (new) counterexamples of parabolic systems
  4. Nečasová, Š. , Hana Petzeltová, Milan Pokorný, Adélia Sequeira, To the 70th anniversary of birthday of Prof. Nečas
  5. Frank Duzaar, Giuseppe Mingione, Second order parabolic systems, optimal regularity, and singular sets of solutions
  6. Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák, In Memoriam Jindřich Nečas

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