Fourth order differential operators with interior degeneracy and generalized Wentzell boundary conditions
Analysis of PDEs
2022-12-26 v3
Abstract
In this paper we consider the fourth order operators A1u := (au")" and A2u := au"" in divergence form and non divergence form, respectively, where a, defined in [0, 1] with values in 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, proving the well posedness of the corresponding parabolic problems.
Keywords
Cite
@article{arxiv.2207.07959,
title = {Fourth order differential operators with interior degeneracy and generalized Wentzell boundary conditions},
author = {Alessandro Camasta and Genni Fragnelli},
journal= {arXiv preprint arXiv:2207.07959},
year = {2022}
}