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.
Degenerate fourth order parabolic equations with Neumann boundary conditions
Alessandro Camasta;
2024-01-01
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.File in questo prodotto:
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