Heat equation with memory: Lack of controllability to rest
By S. Ivanov, Luciano Pandolfi. 2009
110 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5423663a3494666d48d3022d299b5ddcb81951d0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Xu Zhang
- Jiongmin Yong
- Xiaoyu Fu
- Sergio Guerrero
- Luciano Pandolfi
- Enrique Zuazua
- Masahiro Yamamoto
- Jean-Michel Coron
In Control and Systems Engineering
- Xu Zhang
- Xiaoyu Fu
- Jiongmin Yong
- Sergio Guerrero
- Luciano Pandolfi
- Enrique Zuazua
- Masahiro Yamamoto
- Jean-Michel Coron
In Mathematical Physics
Citations in the corpus
- Controllability and observability of a heat equation with hyperbolic memory kernel (2009, background): “Recently, further related results have been presented in [9,21], especially an interesting negative controllability result can be found in [9].”
- Riesz Systems and Controllability of Heat Equations with Memory (2009, background): “Finally, let us note that even if = 0 then we don’t have controllability to rest: we construct a control which forces the solution to hit the 0 target at a certain time T but we cannot force the solution to remain at rest in the future: in fact, in the case of heat equations with memory, controllabi”
- Remarks on non controllability of the heat equation with memory (2013, background): “In [3], for a one-dimensional heat equation with memory, the authors proved the lack of “controllability to the rest” for some initial conditions when controlling through one endpoint.”