Corrigendum to " (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains " - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Corrigendum to " (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains "

Résumé

The aim of this short note is: $(i)$ to report an error in \cite{Strat}; $(ii)$ to explain why the comparison result of \cite{Strat} lacks an hypothesis in the definition of subsolutions if we allow them to be discontinuous; $(iii)$~to describe a simple counter-example; $(iv)$ to show a simple way to correct this mistake, considering the classical Ishii's definition of viscosity solutions; $(v)$ finally, to give some elements of proof showing that this actually corrects the error.
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Dates et versions

hal-01591473 , version 1 (21-09-2017)
hal-01591473 , version 2 (19-10-2017)

Identifiants

  • HAL Id : hal-01591473 , version 1

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Guy Barles, Emmanuel Chasseigne. Corrigendum to " (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains ". 2017. ⟨hal-01591473v1⟩
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