Abstract
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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Amansag, A. Well-posedness of a general class of non-autonomous hyperbolic boundary problems. J Elliptic Parabol Equ 9, 853–873 (2023). https://doi.org/10.1007/s41808-023-00226-8
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DOI: https://doi.org/10.1007/s41808-023-00226-8