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 Title: A note on the parabolic variation (English) Author: Dont, Miroslav Language: English Journal: Mathematica Bohemica ISSN: 0862-7959 Volume: 125 Issue: 3 Year: 2000 Pages: 257-268 Summary lang: English . Category: math . Summary: A condition for solvability of an integral equation which is connected with the first boundary value problem for the heat equation is investigated. It is shown that if this condition is fulfilled then the boundary considered is $\frac12$-Holder. Further, some simple concrete examples are examined. (English) Keyword: boundary value problem for the heat equation Keyword: integral equation Keyword: heat equation Keyword: boundary value problem Keyword: parabolic variation MSC: 31A20 MSC: 31A25 MSC: 35K05 idZBL: Zbl 0965.31001 idMR: MR1790119 . Date available: 2009-09-24T21:43:16Z Last updated: 2015-09-15 Stable URL: http://hdl.handle.net/10338.dmlcz/126129 . Reference: [1] M. Dont: Fourier problem with bounded Baire data.Math. Bohem. 22 (1997), 405-441. Zbl 0898.31004, MR 1489402 Reference: [2] M. Dont: On a heat potential.Czechoslovak Math. J. 25 (1975), 84-109. Zbl 0304.35051, MR 0369918 Reference: [3] M. Dont: A note on a heat potential and the parabolic variation.Čas. Pӗst. Mat. 101 (1976), 28-44. Zbl 0325.35043, MR 0473536 Reference: [4] J. Král: Teorie potenciálu I.SPN, Praha, 1965. .

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