Abstract
In this paper we consider a linear parabolic equation in the one-dimensional case in a wedge-shaped domain Ω = { s 1 ( t ) < x < s 2 ( t ) , 0 < t < T } with s 1 ( 0 ) = s 2 ( 0 ) . The existence of a solution in C 2 + α , 1 + α / 2 space will be proved.
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