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A Weiner-like condition for quasilinear parabolic equations
Author(s):
Daniel
Deignan
Journal:
Bull. Amer. Math. Soc.
82
(1976),
309-310.
MSC (1970):
Primary 35K20, 35K55, 35D10;
Secondary 31B15, 31B35
MathSciNet review:
0410098
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Additional information
References:
- 1.
- D. Aronson and J. Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal. 25 (1967), 81-122. MR 39 #5952. MR 244638
- 2.
- Daniel J. Deignan, Boundary regularity of weak solutions to a quasilinear parabolic equation, Doctoral Dissertation, Indiana University, 1974.
- 3.
- R. Gariepy and W. P. Ziemer, Behavior at the boundary of solutions of quasilinear elliptic equations, Arch. Rational Mech. Anal. 56 (1974/75), 372-384. MR 50 #7807. MR 355332
- 4.
- O. A. Ladyženskaja, V. A. Solonnikov and N. N. Ural'ceva, Linear and quasilinear equations of parabolic type, "Nauka", Moscow, 1967; English transl., Transl. Math. Monographs, vol. 23, Amer. Math. Soc., Providence, R. I., 1968. MR 39 #3159a, b. MR 241822
- 5.
- N. Meyers, A theory of capacities for potentials of functions in Lebesgue classes, Math. Scand. 26 (1970), 255-292. MR 43 #3474. MR 277741
- 6.
- J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101-134; Errata, Ibid. 20 (1967), 231-236. MR 28 #2357; 34 #3121. MR 159139
- 7.
- N. Trudinger, Pointwise estimates and quasilinear parabolic equations, Comm. Pure Appl. Math. 21 (1968), 205-226. MR 37 #1758. MR 226168
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14034-7
PII:
S 0002-9904(1976)14034-7
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