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.
引用
收藏
页码：853 / 873
页数：20
相关论文
共 50 条
  • [1] Well-posedness of a general class of non-autonomous hyperbolic boundary problems
    Amansag, A.
    JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (02) : 853 - 873
  • [2] Well-posedness of non-autonomous evolutionary inclusions
    Trostorff, Sascha
    Wehowski, Maria
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 101 : 47 - 65
  • [3] Well-posedness of non-autonomous semilinear systems
    Schmid, Jochen
    Dashkovskiy, Sergey
    Jacob, Birgit
    Laasri, Hafida
    IFAC PAPERSONLINE, 2019, 52 (16): : 216 - 220
  • [4] Local well-posedness of abstract hyperbolic equation with Lipschitz perturbation and non-autonomous operator
    Hu, Meng
    Ma, Qiaozhen
    Yang, Xin-Guang
    Yuan, Jinyun
    APPLIED MATHEMATICS LETTERS, 2024, 158
  • [5] The well-posedness of a parabolic non-autonomous semilinear equation
    Fkirine, Mohamed
    Hadd, Said
    IFAC PAPERSONLINE, 2022, 55 (12): : 198 - 201
  • [6] Well-posedness of hyperbolic initial boundary value problems
    Coulombel, JF
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2005, 84 (06): : 786 - 818
  • [7] WELL-POSEDNESS OF INFINITE-DIMENSIONAL NON-AUTONOMOUS PASSIVE BOUNDARY CONTROL SYSTEMS
    Jacob, Birgit
    Laasri, Hafida
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (02): : 385 - 409
  • [8] Well-posedness of non-autonomous transport equation on metric graphs
    Christian Budde
    Marjeta Kramar Fijavž
    Semigroup Forum, 2024, 108 : 319 - 334
  • [9] Well-posedness of non-autonomous transport equation on metric graphs
    Budde, Christian
    Fijavz, Marjeta Kramar
    SEMIGROUP FORUM, 2024, 108 (02) : 319 - 334
  • [10] Global well-posedness of a class of singular hyperbolic Cauchy problems
    Pattar, Rahul Raju
    Kiran, N. Uday
    MONATSHEFTE FUR MATHEMATIK, 2023, 200 (02): : 335 - 357
12345