**S. Mesloub, A. Bouziani, N. Kechkar**

##
A Strong Solution of an Evolution Problem With
Integral Condition

**abstract:**

The paper is devoted to proving the existence and
uniqueness of a strong solution of a mixed problem with integral boundary
conditions for a certain singular parabolic equation. A functional analysis
method is used. The proof is based on an energy inequality and on the density of
the range of the operator generated by the studied problem.