Camasta, AlessandroFragnelli, Genni2023-05-152023-05-152022-12-29Camasta, A., & Fragnelli, G. (2022). Fourth-order differential operators with interior degeneracy and generalized Wentzell boundary conditions. <i>Electronic Journal of Differential Equations, 2022</i>(87), pp. 1-22.1072-6691https://hdl.handle.net/10877/16811In this article we consider the fourth-order operators A_1u:=(au'')'' and A2u:=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 generation property of these operators associated to generalized Wentzell boundary conditions. We prove the well posedness of the corresponding parabolic problems.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalDegenerate operators in divergence and non divergence formGeneralized Wentzell boundary conditionsInterior degeneracyArticle