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Book Review

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Book Information:

Author: Guangchang Dong
Title: Nonlinear partial differential equations of second order
Additional book information: Transl. Math. Monographs, Amer. Math. Soc., Providence, RI, 1991, vii\,+\,249 pp., US$136.00. ISBN 0-8218-4554-3.

References [Enhancements On Off] (What's this?)

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  • [2] -, On the local behavior of solutions of degenerate parabolic equations with measurable coefficients, Ann. Norm. Sup. Pisa 13 (1986), 487-535. MR 881103 (89a:35118)
  • [3] E. DiBenedetto and A. Friedman, HÖlder estimates for nonlinear degenerate parabolic systems, J. Reine Angew. Math. 357 (1985), 1-22. MR 783531 (87f:35134a)
  • [4] A. V. Ivanov, Quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, Trudy Mat. Inst. Steklov. 160 (1982), 1-285; English transl., Proc. Steklov Inst. Math. 160 (1984), 1-287. MR 753230 (85e:35055)
  • [5] N. V. Krylov, Nonlinear elliptic and parabolic equations of second order, "Nauka", Moscow, 1985; English transl., Reidel, Dodrecht, 1987. MR 815513 (87h:35002)
  • [6] O. A. Ladyženskaja, V. A. Solonnikov, and N. N. Ural´ ceva, Linear and quasilinear equations of parabolic type, "Nauka", Moscow, 1967; English transl., Amer. Math. Soc., Providence, RI, 1968. MR 0241822 (39:3159b)
  • [7] G. M. Lieberman, Interior gradient bounds for non-uniformly parabolic equations, Indiana Univ. Math. J. 32 (1983), 579-601. MR 703286 (85i:35079)
  • [8] -, The first initial-boundary value problem for quasilinear second order parabolic equations, Ann. Scuola Norm. Sup. Pisa 13 (1986), 347-387. MR 881097 (88e:35108)
  • [9] P. E. Sacks, Continuity of solutions of a singular parabolic equation, Nonlinear Anal. 7 (1983), 387-409. MR 696738 (84d:35081)

Review Information:

Reviewer: Gary M. Lieberman
Journal: Bull. Amer. Math. Soc. 28 (1993), 161-164
DOI: https://doi.org/10.1090/S0273-0979-1993-00342-2
American Mathematical Society