Degenerate fourth order parabolic equations with Neumann boundary conditions

2022/03/05 by Alessandro Camasta, Camasta, Alessandro, Genni Fragnelli +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2203.02739

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] → \R₊ that degenerates somewhere in the interval.

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