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Fourth order differential operators with interior degeneracy and generalized Wentzell boundary conditions

Author(s)
Camasta, Alessandro
Date Issued
2022
Type
article
Volume
2022
Journal or Series
Abstract
In this article we consider the fourth-order operators A_1u:= (au′′ )′′ and A_2u:= au′′′′ in divergence and non divergence form, where a: [0, 1] → R+ degenerates in an interior point of the interval. Using the semigroup technique, under suitable assumptions on a, we study the genera-tion property of these operators associated to generalized Wentzell boundary conditions. We prove the well posedness of the corresponding parabolic problems.
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