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Stará, Jana ; John, Oldřich ; Malý, Jan
Counterexample to the regularity of weak solution of the quasilinear parabolic system. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 123-136
MSC: 35B35, 35B65, 35D10, 35K35, 35K55 | MR 843425 | Zbl 0625.35047
References:
[1] M. STRUWE: A counterexample in regularity theory for parabolic systems. Czech. Math. Journal 34 (109) (1984), 183-188. MR 0743484 | Zbl 0573.35053
[2] M. STRUWE: On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems. Manuscripta Math, 35 (1981), 125-145. MR 0627929 | Zbl 0519.35007
[3] M. GIAQUINTA M. STRUWE: An optimal regularity result for quasilinear parabolic systems. Manuscripta Math. 36 (1981), 223-239. MR 0641975
[4] M. GIAQUINTA E. GIUSTI: Partial regularity for the solutions to nonlinear parabolic systems. Annali di Matematica Pura ed Appl. 97 (1973), 253-266. MR 0338568
[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. MR 0636626 | Zbl 0496.35012
[6] M. GIAQUINTA M. STRUWE: On the partial regularity of weak solutions of nonlinear parabolic systems. Math. Z. 179 (1982), 437-451. MR 0652852
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