FOURTH-ORDER DIFFERENTIAL OPERATORS WITH INTERIOR DEGENERACY AND GENERALIZED WENTZELL BOUNDARY CONDITIONS

被引：0
|
作者：
Camasta, Alessandro [1 ]
Fragnelli, Genni [2 ]
机构：
[1] Univ Bari Aldo Moro, Dept Math, Via E Orabona 4, I-70125 Bari, Italy
[2] Tuscia Univ, Dept Ecol & iol, Largo Univ, I-01100 Viterbo, Italy
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 2022卷 / 87期
关键词：
Degenerate operators in divergence and non divergence form; generalized Wentzell boundary conditions; interior degeneracy; STRUCTURED POPULATIONS; DIFFUSION; EQUATION; MODEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider the fourth-order operators A(1)u := (au '' )'' and A(2)u := 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 genera-tion property of these operators associated to generalized Wentzell boundary conditions. We prove the well posedness of the corresponding parabolic prob-lems.
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页码：1 / 22
页数：22
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