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<p>We first prove the existence and exponential stability of stationary solutions to a class of semilinear parabolic systems with nonlinearities of polynomial type. When the stationary solution is unstable, we stabilize it by using internal feedback controls with large enough support, or finite Fourier modes feedback controls or multiplicative Itô noises with sufficiently large intensity.</p>

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Stabilization of stationary solutions to a class of semilinear parabolic systems

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Bui Thi Hue,
  • Vu Manh Toi

摘要

We first prove the existence and exponential stability of stationary solutions to a class of semilinear parabolic systems with nonlinearities of polynomial type. When the stationary solution is unstable, we stabilize it by using internal feedback controls with large enough support, or finite Fourier modes feedback controls or multiplicative Itô noises with sufficiently large intensity.