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Book Review
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Book Information
Author(s):
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$136.00. ISBN 0-8218-4554-3
References:
- [1]
- E. DiBenedetto, Continuity of weak solutions to a general porous medium equation, Indiana Univ. Math. J. \textbf{32} (1983), 83--118.
- [2]
- E. DiBenedetto, On the local behavior of solutions of degenerate parabolic equations with measurable coefficients, Ann. Norm. Sup. Pisa \textbf{13} (1986), 487--535.
- [3]
- E. DiBenedetto and A. Friedman, H\"older estimates for nonlinear degenerate parabolic systems, J. Reine Angew. Math. \textbf{357} (1985), 1--22.
- [4]
- A. V. Ivanov, Quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, Proc. Steklov Inst. Math. \textbf{160} (1984), 1--287.
- [5]
- N. V. Krylov, Nonlinear elliptic and parabolic equations of second order, Reidel, Dodrecht, 1987.
- [6]
- O. A. Lady\v zenskaja, V. A. Solonnikov, and N. N. Ural$'$ceva, Linear and quasilinear equations of parabolic type, Amer. Math. Soc., Providence, RI, 1968.
- [7]
- G. M. Lieberman, Interior gradient bounds for non-uniformly parabolic equations, Indiana Univ. Math. J. \textbf{32} (1983), 579--601.
- [8]
- G. M. Lieberman, The first initial-boundary value problem for quasilinear second order parabolic equations, Ann. Scuola Norm. Sup. Pisa \textbf{13} (1986), 347--387.
- [9]
- P. E. Sacks, Continuity of solutions of a singular parabolic equation, Nonlinear Anal. \textbf{7} (1983), 387--409.
Additional Information:
Reviewer(s):
Gary M.
Lieberman
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
161-164.
DOI:
10.1090/S0273-0979-1993-00342-2
PII:
S 0273-0979(1993)00342-2
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