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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)
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