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Optimal regularity ...
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Aleksanyan, Gohar,1987-KTH,Matematik (Avd.)
(author)
Optimal regularity in the optimal switching problem
- Article/chapterEnglish2016
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Elsevier,2016
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LIBRIS-ID:oai:DiVA.org:kth-195175
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https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-195175URI
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https://doi.org/10.1016/j.anihpc.2015.06.001DOI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
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QC 20161116
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In this article we study the optimal regularity for solutions to the following weakly coupled system with interconnected obstacles{min(−Δu1+f1,u1−u2+ψ1)=0min(−Δu2+f2,u2−u1+ψ2)=0 arising in the optimal switching problem with two modes. We derive the optimal C1,1-regularity for the minimal solution under the assumption that the zero loop set L:={ψ1+ψ2=0} is the closure of its interior. This result is optimal and we provide a counterexample showing that the C1,1-regularity does not hold without the assumption L=L0‾.
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KTHMatematik (Avd.)
(creator_code:org_t)
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In:Annales de l'Institut Henri Poincare. Analyse non linéar: Elsevier33:6, s. 1455-14710294-14491873-1430
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