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PreprintarXiv licencearXiv

Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary

  • Guillaume Olive
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Abstract

In this work we study the null-controllability properties of linear parabolic systems with constant coefficients in the case where several controls are acting on different distributed subdomains and/or on the boundary. We prove a Kalman rank condition in the one-dimensional case. In the case where only distributed controls are considered we also establish related results such as a Carleman estimate.

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Cite

BibTeXRIS
BibTeX
@misc{olive2026nullcontrollability,
  title = {{Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary}},
  author = {Guillaume Olive},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09959},
  eprint = {2609.09959},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.09959},
}
RIS
TY  - UNPB
TI  - Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary
AU  - Guillaume Olive
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.09959
UR  - https://arxiv.org/abs/2609.09959
AB  - In this work we study the null-controllability properties of linear parabolic systems with constant coefficients in the case where several controls are acting on different distributed subdomains and/or on the boundary. We prove a Kalman rank condition in the one-dimensional case. In the case where only distributed controls are considered we also establish related results such as a Carleman estimate.
ER  -