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.
Camasta, A., Fragnelli, G. (2025). Degenerate fourth order parabolic equations with Neumann boundary conditions. In Analysis and Numerics of Design, Control and Inverse Problems (pp.58-81). Singapore : Springer [10.1007/978-981-96-6182-4_4].
Degenerate fourth order parabolic equations with Neumann boundary conditions
Fragnelli, Genni
2025-01-01
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.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1300836