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Dont, Miroslav. Third boundary value problem for the heat equation. II. Časopis pro pěstování matematiky, Tome 107 (1982) no. 1, pp. 7-22. doi: 10.21136/CPM.1982.108322
@article{10_21136_CPM_1982_108322,
author = {Dont, Miroslav},
title = {Third boundary value problem for the heat equation. {II}},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {7--22},
year = {1982},
volume = {107},
number = {1},
doi = {10.21136/CPM.1982.108322},
mrnumber = {651078},
zbl = {0488.35037},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1982.108322/}
}
TY - JOUR AU - Dont, Miroslav TI - Third boundary value problem for the heat equation. II JO - Časopis pro pěstování matematiky PY - 1982 SP - 7 EP - 22 VL - 107 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1982.108322/ DO - 10.21136/CPM.1982.108322 LA - en ID - 10_21136_CPM_1982_108322 ER -
[1] G. Anger: Funktionalanalytisсhе Bеtraсhtungеn bеi Diffеrеntialglеiсhungеn untеr Vегwеndung von Mеthodеn dеr Potеntialthеoriе I. Аkadеmiе-Vеrlag, Bеrlin 1967.
[2] E. A. Бaдepкo: Пpименение метoдa пapaбoлическиxпoтенциaлoвкpешению oднoй кpaевoй зaдaчи кoнтaктнoй теплopвoвoдңoсти. Дифф. ypaвнения 6 (1970), 2200-2213. | MR
[3] M. Dont: On a hеat potеntial. Czесh. Math. J. 25 (1975), 84-109. | MR
[4] M. Dont: On a boundary valuе problеm foг thе hеat еquation. Czесh. Math. J. 25 (1975), 110-133. | MR
[5] M. Dont: А notе on a hеat potеntial and thе paraboliс vaгiation. Čas. Pěst. Mat. 101 (1976), 28-44. | MR
[6] M. Dont: Thе hеat and adjоint hеat pоtеntials. Čas. Pěst. Мat. 105 (1980), 199-203. | MR
[7] M. Dont: On thе соntinuity оf thе hеat pоtеntials. Čas. Pěst. Mat. 106 (1981), 156-167. | MR
[8] A. Friedman: Partial diffеrеntial еquatiоns оf parabоliс typе. Pгеntiсе-Hall, 1964. | MR
[9] M. Gevrey: Sur lеs еquatiоns aux dérivéеs du typе paгabоliquе. J. Math. Purеs Аppl., 9 (1943), 305-471; 10 (1914), 105-148.
[10] J. Král: Thеоry оf pоtеntiаl I. (Czесh). SPN Prаhа 1965.
[11] J. Král: On thе lоgаrithmiс pоtеntiаl оf thе dоublе distributiоn. Czесh. Mаth. J. 14 (89) 1964, 306-321.
[12] J. Král: Thе Frеdhоlm rаdius оf аn оpеrаtоr in pоtеntiаl thеоry. Czесh. Mаth. J. 15 (90) 1965), 454-473; 565-588.
[13] J. Král: Thе Frеdhоlm mеthоd in pоtеntiаl thеоry. Trаns. А.M.S. 125 (1966), 511 - 547. | MR
[14] J. Král: Flоws оf hеаt. Аtti Ассаd. Nаz. Linсеi, Rеnd. Cl. fis. mаt. е nаt. 46 (1969), fаsс. 2, 60-63.
[15] J. Král: Flоws оf hеаt аnd thе Fоuriег prоblеm. Czесh. Mаth. J. 20 (1970), 556-598. | MR
[16] J. Král: А nоtе оn thе Rоbin prоblеm in pоtеntiаl thеоry. Cоmmеnt. Mаth. Univ. Cаrоlinае 74 (1973), 767-771.
[17] J. Král: Pоtеntiаls аnd bоundаry vаluе prоblеms. 5. Tаgung übег Prоblеmе und Mеthоdеn dеr Mаthеmаtisсhеn Physik. Wissеnsсhаftliсhе Sсhriftеnrеihе dеr Tесhnisсhеn Hосhsсhulе Kаrl-Mаrx-Stаdt 1975, 484-500.
[18] J. Král: Hеаt sоurсеs аnd hеаt pоtеntiаls. Prеpгint.
[19] J. Král J. Lukeš: On thе mоdifiеd lоgаrithmiс pоtеntiаl. Czесh. Mаth. J. 21 (1971), 76-98.
[20] J. Král J. Lukeš: Intеgrаls оf thе Cаuсhy typе. Czесh. Mаth. J. 22 (1972), 663 - 682.
[21] J. Král I. Netuka: Cоntrасtivity оf C. Nеumаnn's оpеrаtоr in pоtеntiаl thеоry. J. Mаth. Аnаl. Аppl. 61 (1977). 607-619.
[22] J. Král I. Netuka J. Veselý: Thеоrу оf pоtеntiаl II, III, IѴ. (Czесh). SPN, Prаhа 1972, 1976, 1977.
[23] C. Г. Muxлuн: Интегpалные уpавнения и иx пpиложения к некотоpым пpоблемам меxаники. математической физики и теxники. ГУTTЛ, Mосква, 1949.
[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. | MR
[25] S. Mrzena: Continuity of heat potentials. (Czech). Praha, 1976.
[26] Ch. H. Müntz: Zum dynamischen Wärmeleitungsproblem. Math. Z. 38 (19ЗЗ), З2З -ЗЗ7.
[27] I. Netuka: The Robin problem in potential theory. Comment. Math. Univ. Carolinae 12 (1971), 205-211. | MR | Zbl
[28] I. Netuka: Generalized Robin problem in potential theory. Czech. Math. J. 22 (1972), З12-З24. | MR | Zbl
[29] I. Netuka: An operator connected with the third boundary value problem in potential theory. Czech. Math. J. 22 (1972), 462-489. | MR | Zbl
[30] I. Netuka: The third boundary value problem in potential theory. Czech. Math. J. 22 (1972), 554-580. | MR | Zbl
[31] I. Netuka: A mixed boundary value problem for heat potentials. Comment. Math. Univ. Caгolinae 19 (1978), 207-211. | MR | Zbl
[32] I. Netuka: Heat potentials and the mixed boundary value problem for the heat equation. (Czech). Praha, 1977.
[33] W. Pogorzelski: Sur la solution de ľéquation intégrale dans le problème de Fourier. Ann. Soc. Polon. Math. 24 (1951), 56-74. | MR
[34] W. Pogorzelski: Integral equations and their applications. Pergamon Press, Oxford, 1966. | MR | Zbl
[35] F. Riesz B. Sz. Nagy: Lecone ďanalyse fonctionnelle. Budapest, 1952.
[36] A. Tuxoнoв: Oб ypaвнeнии тeплoпpoвoднocти для нecкoлькиx пepeмeнныx. Бюлeтвн Mocк. Гoc. Унив. 1 (1938), 1-45.
[37] A. Tichonov A. Samarskij: Rovnice matematické fyziky. Praha, 1955.
[38] J. Veselý: On the heat potential of the double distribution. Čas. Pěst. Mat. 98 (1973), 181-198. | MR
[39] J. Veselý: On a generalized heat potential. Czech. Math. Ј. 25 (1975), 404-423. | MR
[I] M. Dont: А third boundary value problem for the heat equation I. Czech. Math. Ј. | Zbl
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