Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
heat equation; parabolic function; Weierstrass kernel; set of determination; Harnack inequality; coparabolic thinness; coparabolic minimal thinness; heat ball
heat equation; parabolic function; Weierstrass kernel; set of determination; Harnack inequality; coparabolic thinness; coparabolic minimal thinness; heat ball
Summary:
References:
[1] Aikawa H.: Sets of determination for harmonic function in an NTA domains. J. Math. Soc. Japan, to appear. MR 1376083
[2] Bonsall F.F.: Domination of the supremum of a bounded harmonic function by its supremum over a countable subset. Proc. Edinburgh Math. Soc. 30 (1987), 441-477. MR 0908454 | Zbl 0658.31001
[3] Brzezina M.: On the base and the essential base in parabolic potential theory. Czechoslovak Math. J. 40 (115) (1990), 87-103. MR 1032362 | Zbl 0712.31001
[4] Doob J.L.: Classical Potential Theory and Its Probabilistic Counterpart. Springer-Verlag New York (1984). MR 0731258 | Zbl 0549.31001
[5] Gardiner S.J.: Sets of determination for harmonic function. Trans. Amer. Math. Soc. 338.1 (1993), 233-243. MR 1100694
[6] Moser J.: A Harnack inequality for parabolic differential equations. Comm. Pure Appl. Math. XVII (1964), 101-134. MR 0159139 | Zbl 0149.06902
[7] Ranošová J.: Sets of determination for parabolic functions on a half-space. Comment. Math. Univ. Carolinae 35 (1994), 497-513. MR 1307276
[8] Watson A.N.: Thermal capacity. Proc. London Math. Soc. 37.3 (1987), 342-362. MR 0507610
Search
Partner of
