Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation
This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at x=0). In the main result we prove that, if the final time T is fixed and the initial state is sufficientl...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/139302 |
| Online Access: | https://hdl.handle.net/11441/139302 https://doi.org/10.1007/s00574-016-0001-0 |
| Access Level: | Open access |
| Keyword: | Null controllability Free-boundary problems 1D semilinear heat equation Carleman estimates |
| Summary: | This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at x=0). In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exists controls that drive the state exactly to rest at time t=T. |
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