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.

引用

页码：1 / 22

页数：22

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