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arXiv · 2510.00173

Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains

Alfredo S. Gamboa·Juan Limaco·Luis P. Yapu
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Abstract

In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a semilinear parabolic equation in one-dimension defined in a non-cylindrical domain where the diffusion coefficient degenerates at one point of the boundary. The linearized degenerated system is treated using a Carleman inequality for degenerated non-autonomous systems proved by the autors in [19] and the local controllability of the semilinear system is obtained using Liusterniks inverse function theorem.

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Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu. 2025-09-30. Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains. https://arxiv.org/abs/2510.00173

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