| Title:
|
Flows of heat and the Fourier problem (English) |
| Author:
|
Král, Josef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
20 |
| Issue:
|
4 |
| Year:
|
1970 |
| Pages:
|
556-598 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
31.00 |
| MSC:
|
35.78 |
| idZBL:
|
Zbl 0213.38203 |
| idMR:
|
MR0271554 |
| DOI:
|
10.21136/CMJ.1970.100984 |
| . |
| Date available:
|
2008-06-09T13:48:32Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100984 |
| . |
| Reference:
|
[1] E. De Giorgi: Su una teoria generale della misura $(r - 1)$-dimensionale in uno spazio ad $r$ dimensioni.Ann. Mat. Рurа Appl. (4) 36 (1954), 191 - 213. Zbl 0055.28504, MR 0062214, 10.1007/BF02412838 |
| Reference:
|
[2] E. De Giorgi: Nuovi teoremi relativi alle misure $(r - 1)$-dimensionali in uno spazio ad $r$ dimensioni.Ricerche di Matematica 4 (1955), 96-113. Zbl 0066.29903, MR 0074499 |
| Reference:
|
[3] H. Federer: A note on the Gauss-Green theorem.Proc. Amer. Math. Soc. 9 (1958), 447-451. Zbl 0087.27302, MR 0095245, 10.1090/S0002-9939-1958-0095245-2 |
| Reference:
|
[4] H. Federer, W. H. Fleming: Normal and integral currents.Ann. of Math. 72 (1960), 458-520. Zbl 0187.31301, MR 0123260, 10.2307/1970227 |
| Reference:
|
[5] G. Fichera: Alcuni recenti sviluppi della teoria dei problemi al contorno per le equazioni alle derivate parziali.Atti Convegno Equaz. Deriv. Parz. Trieste (1954), 174-227. MR 0074665 |
| Reference:
|
[6] W. H. Fleming: Functions whose partial derivatives are measures.Illinois J. Math. 4 (1960), 452-478. Zbl 0151.05402, MR 0130338, 10.1215/ijm/1255456061 |
| Reference:
|
[7] A. Friedman: Partial differential equations of parabolic type.Prentice-Hall, 1964. Zbl 0144.34903, MR 0181836 |
| Reference:
|
[8] L. I. Kamynin: Ljapunov's theorems for thermal potentials.(Russian), Doklady ANSSSR 160 (1965), 271-273. MR 0173091 |
| Reference:
|
[9] J. Král: Note on sets whose characteristic functions have signed measures for their derivatives.Časopis pro pěstování matematiky 83 (1958), 116-221. |
| Reference:
|
[10] J. Král: The Fredholm method in potential theory.Trans. Amer. Math. Soc. 125 (1966), 511-547. MR 0209503, 10.2307/1994580 |
| Reference:
|
[11] J. Král: Flows of heat.Atti Accad. Naz. Lincei, Rend. Cl. Sc. fis., mat. e natur. 46 (1969), fasc. 2, 60-63. MR 0254440 |
| Reference:
|
[12] K. Krickeberg: Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen.Ann. Mat. Рurа Appl. (4) 44 (1957), 105-134. Zbl 0082.26702, MR 0095922, 10.1007/BF02415194 |
| Reference:
|
[13] M. Krzyżański: Partial differential equations of the second order I.(Polish), Warszawa 1957. MR 0100142 |
| Reference:
|
[14] O. A. Ladyženskaja V. A. Solonnikov N. N. Uralceva: Linear and quasilinear equations of parabolic type.(Russian), Moscow 1967. MR 0241822 |
| Reference:
|
[15] J. Mařík: The surface integral.Czechoslovak Math. J. (81) 6 (1956), 522-558. MR 0089891 |
| Reference:
|
[16] M. Miranda: Distribuzioni aventi derivate misure, insiemi di perimetro localmente finito.Ann. Scuola Norm. Sup. Pisa (3) 18 (1964), 27-56. Zbl 0131.11802, MR 0165073 |
| Reference:
|
[17] M. Pagni: Su un problema al contorno tipico per l'equazione del calore.Ann. Scuola Norm. Sup. Pisa (3) 11 (1957), 73-115. Zbl 0082.09102, MR 0136871 |
| Reference:
|
[18] Chr. Y. Рauс: Functions with generalized gradients in the theory of cell functions.Ann. Math. Рurа Appl. (4) 44 (1957), 135-152. MR 0095924 |
| Reference:
|
[19] J. Plemelj: Potentialtheoretische Untersuchungen.Leipzig 1911. |
| Reference:
|
[20] W. Pogorzelski: Sur la solution de l'équation intégrale dans le problème de Fourier.Ann. Soc. Polon. Math. 24 (1951), 56-74. MR 0049468 |
| Reference:
|
[21] J. Radon: Über die Randwertaufgaben beim logarithmischen Potential.Sitzungsber. Akad. Wiss. Wien (2a) 128 (1919), 1123-1167. |
| Reference:
|
[22] F. Riesz B. Sz. Nagy: Leçons d'analyse fonctionelle.Budapest 1952, |
| Reference:
|
[23] L. Schwartz: Théorie des distributions I, II.Actualités Sci. Ind. 1091, 1122, Paris, 1950, 1951. |
| Reference:
|
[24] Ju. D. Vurago, V. G. Maz'ja: Some questions in potential theory and function theory for regions with irregular boundaries.(Russian), Zapiski naučn. sem. Leningrad, otd. MIAN 3 (1967). |
| Reference:
|
[25] K. Yosida: Functional analysis.Springer 1965. Zbl 0126.11504, MR 0180824 |
| Reference:
|
[26] L. C. Young: A theory of boundary values.Proc. London Math. Soc. (3) 14 A (1965), 300-314. Zbl 0147.07802, MR 0180891 |
| . |
