Abstract: 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 $\frac {1}{2}$-Hölder. Further, some simple concrete examples are examined.
Keywords: heat equation, boundary value problem, integral equations, parabolic variation
Classification (MSC2000): 31A25, 31A20
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