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Dont, Miroslav

On a heat potential. (English) Zbl 0304.35051

Czech. Math. J. 25(100), 84-109 (1975).
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Cited in 3 Documents

MSC:

35K05 Heat equation
31A15 Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions
31A25 Boundary value and inverse problems for harmonic functions in two dimensions
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\textit{M. Dont}, Czech. Math. J. 25(100), 84--109 (1975; Zbl 0304.35051)
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References:

[1] E. G. Effros J. L. Kazdan: On the Dirichlet Problem for the Heat Equation. Indiana Univ. Math. J., 20 (1971), 683-693. · Zbl 0216.12702
[2] A. Friedman: Partial differential equations of parabolic type. Prentice-Hall 1964. · Zbl 0144.34903
[3] M. Gevrey: Sur les équations aux dérivées du type parabolique. J. Math. Pures AppL, 9 (1913), 305-471; 10 (1914), 105-148.
[4] Л. И. Камынин: О гладкости тепловых потенциалов I-VI. Дифференциальные уравнения, T. 1, (1965), 799-839; T. 2, (1966) 684-687, 1334-1357, 1484-1501; T. 3, (1967), 948-964, 1303-1312; T. 4, (1968), 347-365, 881-895, 1867-1891, 2034-2055.
[5] Л. И. Камынин: К теории Жевре для параболических потенциалов I-IV. Дифференциальные уравнения, T. 7, (1971), 312-328, 711-726, 1473-1489; T. 8, (1972), 318-332.
[6] J. Král: Teorie potenciálu I. Praha 1965.
[7] J. Král: On the logarithmic potential of the double distribution. Czech. Math. ., 14 (89) 1964, 306-321. · Zbl 0137.30201
[8] J. Král: The Fredholm radius of an operator in potential theory. Czech. Math. J., 15 (90) 1965, 454-473; 565-588. · Zbl 0145.37003
[9] J. Král J. Lukeš: On the modified logarithmic potential. Czech. Math. J., 21 (96) 1971, 76-98. · Zbl 0213.38301
[10] J. Král J. Lukeš: Integrals of the Cauchy type. Czech. Math. J., 22 (1972), 663-682.
[11] J. Král L. Netuka J. Veselý: Teorie potenciálu II. Praha 1972.
[12] О. А. Ладыженская В. А. Солонников Н. Н. Уральцева: Линейные и квазилинейные уравнения параболического типа. Москва 1967. · Zbl 1230.82006
[13] J. Mařík: Преобразование одномерных интегралов. Časopis pěst. mat., 82 (1957), 93 - 98.
[14] F. Riesz B. SZ.-Nagy: Vorlesungen über Functionalanalysis. Berlin 1956.
[15] A. Tichonov A. Samarskij: Rovnice matematické fyziky. Praha 1955.
[16] Van Tun: Теория теплового потенциала I-III. Ж. вычислительной математики и математической физики, 4 (1964), 660-670; 5 (1965), 474-487, 658-666.
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