<p>The main goal of this paper is to investigate the null approximate impulse controllability for a one-dimensional degenerate heat equation in non divergence form with a drift term. In order to arrive at such a result, we establish a logarithmic convexity estimate for the solution of the corresponding homogeneous system. This estimate is obtained through the use of the Carleman commutator approach with adapted weight function.</p>

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Null Approximate Impulse Controllability for a Degenerate Parabolic Equation in Non Divergence Form with Drift

  • Brahim Allal,
  • Lahcen Maniar,
  • Ilham Ouelddris,
  • Jawad Salhi

摘要

The main goal of this paper is to investigate the null approximate impulse controllability for a one-dimensional degenerate heat equation in non divergence form with a drift term. In order to arrive at such a result, we establish a logarithmic convexity estimate for the solution of the corresponding homogeneous system. This estimate is obtained through the use of the Carleman commutator approach with adapted weight function.