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On a third order parabolic equation with a nonlocal boundary condition

机译:具有非局部边界条件的三阶抛物方程

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In this paper we demonstrate the existence, uniqueness and continuous dependence of a strong solution upon the data, for a mixed problem which combine classical boundary conditions and an integral condition, such as the total mass, flux or energy, for a third order parabolic equation. We present a functional analysis method based on an a priori estimate and on the density of the range of the operator generated by the studied problem.
机译:在本文中,我们针对三阶抛物线方程组合经典边界条件和积分条件(例如总质量,通量或能量)的混合问题,证明了强解对数据的存在性,唯一性和连续依赖性。我们提出了一种基于先验估计和所研究问题所产生的算子范围密度的功能分析方法。

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