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.
- University of Bari Aldo Moro Italy
- Université Hassan 1er Morocco
- University of Siena Italy
Controllability, Carleman estimates, controllability, memory term, observability inequality, 35K65, 45K05, 93C05, 93B05, 330, Degenerate parabolic equations, Carleman estimates, controllability, memory term, 510, Integro-partial differential equations, Mathematics - Analysis of PDEs, Linear systems in control theory, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control, observability inequality, Analysis of PDEs (math.AP)
Controllability, Carleman estimates, controllability, memory term, observability inequality, 35K65, 45K05, 93C05, 93B05, 330, Degenerate parabolic equations, Carleman estimates, controllability, memory term, 510, Integro-partial differential equations, Mathematics - Analysis of PDEs, Linear systems in control theory, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control, observability inequality, Analysis of PDEs (math.AP)
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