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arXiv · 2112.02882

A degenerate operator in non divergence form

Alessandro Camasta·Genni Fragnelli
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Abstract

In this paper we consider a fourth order operator in nondivergence form $Au:= au''''$, where $a: [0,1] \rightarrow \mathcal R_+$ 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 $A_nu := au^{(2n)}$.

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Alessandro Camasta, Genni Fragnelli. 2021-12-06. A degenerate operator in non divergence form. https://arxiv.org/abs/2112.02882

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