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In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish… Click to show full abstract
In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new Carleman inequality with weights which do not blow up at t=0. Then the null controllability property is proved for the singular heat equation with memory under a condition on the kernel, by means of Kakutani's fixed-point Theorem.
Keywords:
null controllability;
singular heat;
heat equation
Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!