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arXiv · 2203.02739

Degenerate fourth order parabolic equations with Neumann boundary conditions

Alessandro Camasta·Genni Fragnelli
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Abstract

We study the generation property for a fourth order operator in divergence or in non divergence form with suitable Neumann boundary conditions. As a consequence we obtain the well posedness for the parabolic equations governed by these operators. The novelty of this paper is that the operators depend on a function $a: [0,1] \rightarrow \R_+$ that degenerates somewhere in the interval.

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Alessandro Camasta, Genni Fragnelli. 2022-03-05. Degenerate fourth order parabolic equations with Neumann boundary conditions. https://arxiv.org/abs/2203.02739

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