A degenerate operator in non divergence form

Alessandro Camasta; Genni Fragnelli

doi:https://doi.org/10.1007/978-3-031-20021-2_11

A degenerate operator in non divergence form

Alessandro Camasta, Genni Fragnelli · UnitusOpen (Tuscia University) · 2023

In this paper we consider a fourth order operator in non divergence form Au := au′′′′, where a : [0,1] → R+ is a function that degenerates somewhere in the interval. We prove that the operator generates an analytic semigroup, under suitable assumptions on the function a. We extend these results to a general operator Anu := au^(2n)

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