Geodesic
A note on the parabolic variation
Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 257-268

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MR Zbl
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.
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.
DOI : 10.21136/MB.2000.126129
Classification : 31A20, 31A25, 35K05
Keywords: boundary value problem for the heat equation; integral equation; heat equation; boundary value problem; parabolic variation 
Dont, Miroslav. A note on the parabolic variation. Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 257-268. doi: 10.21136/MB.2000.126129
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[1] M. Dont: Fourier problem with bounded Baire data. Math. Bohem. 22 (1997), 405-441. | MR | Zbl

[2] M. Dont: On a heat potential. Czechoslovak Math. J. 25 (1975), 84-109. | MR | Zbl

[3] M. Dont: A note on a heat potential and the parabolic variation. Čas. Pӗst. Mat. 101 (1976), 28-44. | MR | Zbl

[4] J. Král: Teorie potenciálu I. SPN, Praha, 1965.

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