boundary value problem for the heat equation; integral equation; heat equation; boundary value problem; parabolic variation
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.
 M. Dont: A note on a heat potential and the parabolic variation
. Čas. Pӗst. Mat. 101 (1976), 28-44. MR 0473536
| Zbl 0325.35043
 J. Král: Teorie potenciálu I. SPN, Praha, 1965.