Alessandro Camasta, Genni Fragnelli
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.
Submitted September 28, 2021. Published December 29, 2022.
Math Subject Classifications: 47D06, 35K65, 47B25, 47N20.
Key Words: Degenerate operators in divergence and non divergence form;
generalized Wentzell boundary conditions; interior degeneracy.
DOI: https://doi.org/10.58997/ejde.2022.87
Show me the PDF file (398 KB), TEX file for this article.
 |
Alessandro Camasta Department of Mathematics University of Bari Aldo Moro Via E. Orabona 4, 70125 Bari, Italy email: alessandro.camasta@uniba.it |
|---|---|
 |
Genni Fragnelli Department of Ecology and Biology Tuscia University Largo dell'Università, 01100 Viterbo, Italy email: genni.fragnelli@unitus.it |
Return to the EJDE web page