## Mixed problem with integral conditions for a third order parabolic equation.(English)Zbl 0921.35068

Summary: This paper is concerned with the existence and uniqueness of a strong solution to a mixed problem which combine Dirichlet and integral conditions for a third-order linear parabolic equation. The proof uses a functional analysis method.

### MSC:

 35K35 Initial-boundary value problems for higher-order parabolic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000)

### Keywords:

strong solution; Dirichlet and integral conditions