Abstract
The main aim of this paper is a nonrecursive formula for the compatibility conditions ensuring the regularity of solutions of abstract inhomogeneous linear wave equations, which we derive using the theory of T. Kato [11]. We apply it to interaction problems for wave equations (cf. [3]), generalizing regularity results of Lions-Magenes [12].
This research was supported by the Deutsche Forschungsgemeinschaft under grant Al 289/1-1
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Mehmeti, F.A. (1991). Existence and Regularity of Solutions of Cauchy Problems for Inhomogeneous Wave Equations with Interaction. In: Bart, H., Gohberg, I., Kaashoek, M.A. (eds) Topics in Matrix and Operator Theory. Operator Theory: Advances and Applications, vol 50. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5672-0_2
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DOI: https://doi.org/10.1007/978-3-0348-5672-0_2
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