Third boundary value problem for the heat equation. I.

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1. G. Anger, Funktionalanalytische Betrachtungen bei Differentialgleichungen unter Verwendung von Methoden der Potentialtheorie I, Akademie-Verlag, Berlin 1967. (1967) Zbl0163.11901MR0230916
2. Е. А. Бадерко, Применение метода поуаболических потенциалов к решению одной краевой задачи контактной теплопроизводности, Дифф. уравнения 6 (1970), 2200-2213. (1970) Zbl1107.83313MR0301365
3. M. Dont, On a heat potential, Czech. Math. J. 25 (1975), 84-109. (1975) Zbl0304.35051MR0369918
4. M. Dont, On a boundary value problem for the heat equation, Czech. Math. J. 25 (1975), 110-133. (1975) Zbl0304.35052MR0369919
5. M. Dont, A note on a heat potential and the parabolic variation, Čas. Pěst. Mat. 101 (1976) 28-44. (1976) Zbl0325.35043MR0473536
6. M. Dont, The heat and adjoint heat potentials, Čas. Pěst. Mat. 105 (1980), 199-203. (1980) Zbl0417.31007MR0573112
7. M. Dont, On the continuity of the heat potentials, Čas. Pěst. Mat. 106 (1981), 156-167. (1981) MR0621179
8. A. Friedman, Partial differential equations of parabolic type, Prentice-Hall, 1964. (1964) Zbl0144.34903MR0181836
9. M. Gevrey, Sur les équations aux dérivées du type parabolique, J. Math. Pures Appl., 9 (1913), 305-471; 10(1914), 105-148. (1913) 
10. J. Král, Theory of potential I, (Czech). SPN Praha 1965. (1965) 
11. J. Král, On the logarithmic potential of the double distribution, Czech. Math. J. 14 (89) 1964, 306-321. (1964) MR0180690
12. J. Král, The Fredholm radius of an operator in potential theory, Czech. Math. J. 15 (90) 1965, 454-473; 565-588. (1965) MR0190363
13. J. Král, The Fredholm method in potential theory, Trans. A. M. S. 125 (1966), 511-547, (1966) MR0209503
14. J. Král, Flows of heat, Atti Accad. Naz. Lincei, Rend. Cl. fis. mat. e nat. 46 (1969), fasc. 2 60-63. (1969) MR0254440
15. J. Král, Flows of heat and the Fourier problem, Czech. Math. J. 20 (1970), 556-598. (1970) MR0271554
16. J. Král, A note on the Robin problem in potential theory, Comment. Math. Univ. Carolinae 14 (1973), 767-771. (1973) MR0333219
17. J. Král, Potentials and boundary value problems, 5. Tagung über Probléme und Methoden der Mathematischen Physik. Wissenschaftliche Schriftenreihe der Technischen Hochschule Karl-Marx-Stadt 1975, 484-500. (1975) MR0430272
18. J. Král, Heat sources and heat potentials, Preprint. 
19. J. Král J. Lukeš, On the modified logarithmic potential, Czech. Math. J. 21 (1971), 76-98. (1971) MR0277740
20. J. Král J. Lukes, Integrals of the Cauchy type, Czech. Math. J. 22 (1972), 663-682. (1972) MR0338377
21. J. Král L. Netuka, Contractivity of C. Neumann's operator in potential theory, J. Math, Anal. Appl. 61 (1977), 607-619. (1977) MR0508010
22. J. Král I. Netuka J. Veselý, Theory of potential II, III, IV (Czech), SPN, Praha 1972,1976, 1977. (1972) 
23. С. Т. Михнин, Интегральные уравнения и их приложения к некоторым проблемам механики, математической физики и техники, ГИИТЛ, Москва, 1949. (1949) Zbl1152.51302
24. G. Miranda, Integral equation solution of the first initial-boundary value problem for the heat equation in domains with non-smooth boundary, Comm. Pure. Appl. Math. 23 (1970), 757-765. (1970) MR0265785
25. S. Mrzena, Continuity of heat potentials (Czech), Praha, 1976. (1976) 
26. Ch. H.Müntz, Zum dynamischen Warmeleitusproblem, Math. Z. 38 (1933), 323-337. (1933) MR1545454
27. I. Netuka, The Robin problem in potential theory, Comment. Math. Univ. Carolinae 12 (1971), 205-211. (1971) Zbl0215.42602MR0287021
28. I. Netuka, Generalized Robin problem in potential theory, Czech. Math. J. 22 (1972), 312-324. (1972) Zbl0241.31008MR0294673
29. I. Netuka, An operator connected with the third boundary value problem in potential theory, Czech. Math. J. 22 (1972), 462-489. (1972) Zbl0241.31009MR0316733
30. I. Netuka, The third boundary value problem in potential theory, Czech, Math. J. 22 (1972), 554-580. (1972) Zbl0242.31007MR0313528
31. I. Netuka, A mixed boundary value problem for heat potentials, Comment, Math. Univ. Carolinae 19 (1978), 207-211. (1978) Zbl0388.35029MR0481054
32. I. Netuka, Heat potentials and the mixed boundary value problem for the heat equation (Czech), Praha, 1977. (1977) 
33. W. Pogorzelski, Sur la solution de l'equation integrate dans le probleme de Fourier, Ann. Soc. Polon. Math. 24 (1951), 56-74. (1951) MR0049468
34. W. Pogorzelski, Integral equations and their applications, Pergamon Press, Oxford, 1966. (1966) Zbl0137.30502MR0201934
35. F. Riesz B. Sz. Nagy, Lecons d'analyse fonctionnelle, Budapest, 1952. (1952) 
36. А. Тихонов, Об уравнении теплопроводности для нескольких переменных, Бюлетин Моск. Гос. Унив. 1 (1938), 1-45. (1938) Zbl0063.01977
37. A. Tichonov A. Samarskij, Equations of mathematical physics (Czech), Praha, 1955. (1955) 
38. J. Veselý, On the heat potential of the double distribution, Čas. Pěst. Mat. 98 (1973), 181-198. (1973) MR0324058
39. J. Veselý, On a generalized heat potential, Czech. Math. J. 25 (1975), 404-423. (1975) MR0390260

1. Miroslav Dont, Flows of heat and time moving boundary