Null controllability of degenerate parabolic equation with memory
Copyright policy )Null controllability of degenerate parabolic equation with memory
In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null controllability result for a nonhomogeneous degenerate heat equation via new Carleman estimates with weighted time functions that do not blow up at . Then, this result is successfully used with a classical fixed point to obtain null controllability for the initial memory system.
- Université Hassan 1er Morocco
- University of Siena Italy
- University of Bari Aldo Moro Italy
Carleman estimates, controllability, memory term, observability inequality, 35K65, 45K05, 93C05, 93B05, Mathematics - Analysis of PDEs, 330, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control, 510, Analysis of PDEs (math.AP)
Carleman estimates, controllability, memory term, observability inequality, 35K65, 45K05, 93C05, 93B05, Mathematics - Analysis of PDEs, 330, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control, 510, Analysis of PDEs (math.AP)
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