{"title":"Penalization via global functionals of optimal-control problems for dissipative evolution","status":"public","month":"10","publication_identifier":{"issn":["1343-4373"]},"type":"journal_article","article_type":"original","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2019-10-22T00:00:00Z","date_created":"2020-02-28T10:54:41Z","oa_version":"Preprint","quality_controlled":"1","project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"abstract":[{"text":"We consider an optimal control problem for an abstract nonlinear dissipative evolution equation. The differential constraint is penalized by augmenting the target functional by a nonnegative global-in-time functional which is null-minimized in the evolution equation is satisfied. Different variational settings are presented, leading to the convergence of the penalization method for gradient flows, noncyclic and semimonotone flows, doubly nonlinear evolutions, and GENERIC systems. ","lang":"eng"}],"citation":{"short":"L. Portinale, U. Stefanelli, Advances in Mathematical Sciences and Applications 28 (2019) 425–447.","ama":"Portinale L, Stefanelli U. Penalization via global functionals of optimal-control problems for dissipative evolution. <i>Advances in Mathematical Sciences and Applications</i>. 2019;28(2):425-447.","ista":"Portinale L, Stefanelli U. 2019. Penalization via global functionals of optimal-control problems for dissipative evolution. Advances in Mathematical Sciences and Applications. 28(2), 425–447.","ieee":"L. Portinale and U. Stefanelli, “Penalization via global functionals of optimal-control problems for dissipative evolution,” <i>Advances in Mathematical Sciences and Applications</i>, vol. 28, no. 2. Gakko Tosho, pp. 425–447, 2019.","mla":"Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution.” <i>Advances in Mathematical Sciences and Applications</i>, vol. 28, no. 2, Gakko Tosho, 2019, pp. 425–47.","apa":"Portinale, L., &#38; Stefanelli, U. (2019). Penalization via global functionals of optimal-control problems for dissipative evolution. <i>Advances in Mathematical Sciences and Applications</i>. Gakko Tosho.","chicago":"Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution.” <i>Advances in Mathematical Sciences and Applications</i>. Gakko Tosho, 2019."},"intvolume":"        28","author":[{"full_name":"Portinale, Lorenzo","last_name":"Portinale","first_name":"Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Stefanelli, Ulisse","last_name":"Stefanelli","first_name":"Ulisse"}],"department":[{"_id":"JaMa"}],"publication_status":"published","external_id":{"arxiv":["1910.10050"]},"day":"22","publisher":"Gakko Tosho","year":"2019","volume":28,"oa":1,"language":[{"iso":"eng"}],"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.1910.10050","open_access":"1"}],"date_updated":"2022-06-17T07:52:41Z","publication":"Advances in Mathematical Sciences and Applications","_id":"7550","issue":"2","page":"425-447","acknowledgement":"This work is supported by Vienna Science and Technology Fund (WWTF) through Project MA14-009 and by the Austrian Science Fund (FWF) projects F 65 and I 2375."}