Fourth-order differential operators with interior degeneracy and generalized Wentzell boundary conditions
Date
2022-12-29
Authors
Camasta, Alessandro
Fragnelli, Genni
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Degenerate operators in divergence and non divergence form, Generalized Wentzell boundary conditions, Interior degeneracy
Citation
Camasta, 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.
Rights
Attribution 4.0 International