EnglishThe paper deals with semilinear evolution equations in Banach spaces. By means of linear control terms, the controllability problem is investigated and the solutions satisfy suitable nonlocal conditions. The Cauchy multi-point condition and the mean value condition are included in the present discussion. The final configuration is always achieved with a control with minimum norm. The results make use of fixed point techniques; two different approaches are proposed, depending on the use of norm or weak topology in the state space. The discussion is completed with some applications to dynamics of diffusion processes.
Controllability in Dynamics of Diffusion Processes with Nonlocal Conditions / Malaguti, Luisa; Rykaczewski, Krzysztof; Taddei, Valentina. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 16:3(2019), pp. 1-28.
| Data di pubblicazione: | 2019 |
| Titolo: | Controllability in Dynamics of Diffusion Processes with Nonlocal Conditions |
| Autore/i: | Malaguti, Luisa; Rykaczewski, Krzysztof; Taddei, Valentina |
| Autore/i UNIMORE: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00009-019-1351-9 |
| Rivista: | |
| Volume: | 16 |
| Fascicolo: | 3 |
| Pagina iniziale: | 1 |
| Pagina finale: | 28 |
| Codice identificativo ISI: | WOS:000466375000002 |
| Codice identificativo Scopus: | 2-s2.0-85065048732 |
| Citazione: | Controllability in Dynamics of Diffusion Processes with Nonlocal Conditions / Malaguti, Luisa; Rykaczewski, Krzysztof; Taddei, Valentina. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 16:3(2019), pp. 1-28. |
| Tipologia | Articolo su rivista |
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| Malaguti-Rykaczewski-Taddei.pdf | Articolo | Pre-print dell'autore (bozza pre referaggio) | Open Access Visualizza/Apri |
http://hdl.handle.net/11380/1176941
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