Nash-Stackelberg controllability for coupled systems of degenerate equations in non-cylindrical domains

In this paper we investigate the Hierarchical null controllability of a coupled degenerate semilinear parabolic equation in domains which are moving in time. We show the local null controllability of the semilinear system using Liusternik's inverse function theorem. Nevertheless, the main difficulty is to adapt a Carleman estimate for the controllability of the linearized otimality system, using a Carleman inequality for degenerate non-autonomous equation obtanied by the authors previously.

• Publication year

  2026

• Venue

  Unknown venue

• Publication date

  2026-02-07

• Fields of study

  Mathematics

• Identifiers
  arXiv 2602.07582
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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

  2025cited by this paper
• Controllability of a system of non-autonomous degenerate coupled parabolic equations

  2025cited by this paper
• Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations

  2022cited by this paper
• Stackelberg–Nash Controllability for N-Dimensional Nonlinear Parabolic Partial Differential Equations

  2021cited by this paper
• Stackelberg–Nash null controllability for some linear and semilinear degenerate parabolic equations

  2018cited by this paper
• Local null controllability of coupled degenerate systems with nonlocal terms and one control force

  2018cited by this paper
• Local null controllability for degenerate parabolic equations with nonlocal term

  2016cited by this paper
• Hierarchic control for a coupled parabolic system

  2016cited by this paper
• Stackelberg–Nash exact controllability for linear and semilinear parabolic equations

  2015cited by this paper
• Optimal control

  2008cited by this paper
• Carleman estimates for degenerate parabolic operators with applications to null controllability

  2006cited by this paper

• No citing papers are available for this paper.