Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding soluti...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2021-11-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/24809 |
| _version_ | 1830210411580882944 |
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| author | Ionuţ Munteanu |
| author_facet | Ionuţ Munteanu |
| author_sort | Ionuţ Munteanu |
| collection | DOAJ |
| description | The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument in a convenient space. |
| first_indexed | 2024-12-18T05:26:27Z |
| format | Article |
| id | doaj.art-83c845c1ae5a41b0b791d5f4dfd37d3f |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-18T05:26:27Z |
| publishDate | 2021-11-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-83c845c1ae5a41b0b791d5f4dfd37d3f2022-12-21T21:19:33ZengVilnius University PressNonlinear Analysis1392-51132335-89632021-11-0126610.15388/namc.2021.26.24809Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditionsIonuţ Munteanu0Alexandru Ioan Cuza University of Ia¸siThe present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument in a convenient space.https://www.journals.vu.lt/nonlinear-analysis/article/view/24809exponential stabilizationparabolic equationsnonlocal initial conditionsfeedback controlcontraction mapping theorem |
| spellingShingle | Ionuţ Munteanu Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions Nonlinear Analysis exponential stabilization parabolic equations nonlocal initial conditions feedback control contraction mapping theorem |
| title | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions |
| title_full | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions |
| title_fullStr | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions |
| title_full_unstemmed | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions |
| title_short | Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions |
| title_sort | feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions |
| topic | exponential stabilization parabolic equations nonlocal initial conditions feedback control contraction mapping theorem |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/24809 |
| work_keys_str_mv | AT ionutmunteanu feedbackexponentialstabilizationofthesemilinearheatequationwithnonlocalinitialconditions |