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arXiv · 2606.19343

Multiparameter $C$-semigroups and multiparameter $C$-cosine functions

Marko Kostic·Halis Can Koyuncuoglu·Youssef N. Raffoul
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Abstract

In this paper, we present several new results concerning multiparameter $C$-semigroups. We introduce and systematically analyze the class of multiparameter $C$-cosine functions, providing several new structural results and applications to abstract multiparameter Cauchy problems of first/second order in locally convex spaces. We also consider automatic extensions of multiparameter $C$-semigroups and multiparameter $C$-cosine functions.

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Marko Kostic, Halis Can Koyuncuoglu, Youssef N. Raffoul. 2026-04-11. Multiparameter $C$-semigroups and multiparameter $C$-cosine functions. https://arxiv.org/abs/2606.19343

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