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On the regularity theory of fully nonlinear parabolic equations
Author(s):
Lihe
Wang
Journal:
Bull. Amer. Math. Soc.
22
(1990),
107-114.
MSC (1985):
Primary 35B65, 35K20
MathSciNet review:
999619
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References:
- 1.
- L. A. Caffarelli, Interior estimates for fully nonlinear equations, Ann. of Math. (2) 130 (1989), 189-213. MR 1005611
- 2.
- L. A. Caffarelli, J. J. Kohn, L. Nirenberg and J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations. II, Comm. Pure Appl. Math. 38 (1985), 209-252. MR 780073
- 3.
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- 4.
- L. Evans, Classical solutions of fully nonlinear, convex, second order elliptic equations, Comm. Pure Appl. Math. 25 (1982), 333-363. MR 649348
- 5.
- R. Jensen, The maximum principle for viscosity solutions of fully non-linear second order partial differential equations, preprint. MR 920674
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- 7.
- N. V. Krylov, On the maximum principle for nonlinear parabolic and elliptic equations, Izv. Akad. Nauk SSSR Ser. Mat. 42 (1978), No. 4, 1050-1062. MR 513913
- 8.
- N. V. Krylov and M. V. Safonov, Certain properties of solutions of parabolic equations with measurable coefficients, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), No. 1, 161-175. MR 563790
- 9.
- O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva, Linear and quasilinear parabolic equations, "Nauka", Moscow, 1967.
- 10.
- J. Moser, A Harnack's inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101-134. MR 159139
- 11.
- C. Pucci, Operatori ellittici estremanti, Ann. Mat. Pura Appl. (4) 72 (1966), 141-170. MR 208150
- 12.
- K. S. Tso, On an Aleksandrov-Bakel' man type maximum principle for second order parabolic equations(to appear).
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15854-9
PII:
S 0273-0979(1990)15854-9
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