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).
A degenerate operator in non divergence form
Alessandro Camasta
;Genni Fragnelli
2022-01-01
Abstract
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).File in questo prodotto:
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