Well-posedness of a general class of non-autonomous hyperbolic boundary problems

被引：0
|
作者：
A. Amansag
机构：
[1] Faculty of Sciences Ibn Zohr University,Department of Mathematics
来源：
Journal of Elliptic and Parabolic Equations | 2023年 / 9卷
关键词：
Non-autonomous hyperbolic equations; Dissipative operator; Accretive operator; Boundary perturbation; Primary: 35L90; 47B44; Secondary: 35F15; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, we study a general class of non-autonomous hyperbolic boundary Cauchy problems. Using the concept of m-dissipative operators, we show the well-posedness of these problems and give a variation of constants formula of their solutions. To illustrate our results, we provide an application to a non-autonomous size-structured population model with delayed birth process.
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页码：853 / 873
页数：20
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