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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
  • printrdacarrier

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  • LIBRIS-ID:oai:DiVA.org:kth-195175
  • https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-195175URI
  • https://doi.org/10.1016/j.anihpc.2015.06.001DOI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

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  • QC 20161116
  • 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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