L∞ ERROR ESTIMATE FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS OF QUASI-VARIATIONAL INEQUALITIES: L∞ ERROR ESTIMATE

Messaoud Boulbrachene

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

ملخص

This paper deals with the standard finite element approximation of a class of semilinear
elliptic systems of quasi-variational inequalities (QVIs) arising in stochastic control theory. Under a
realistic assumption on the nonlinearity and by means of the concept of subsolutions for linear systems
of QVIs, we derive sharp L∞ error estimate of the approximation.
اللغة الأصليةEnglish
دوريةJournal of Nonlinear and Variational Analysis
حالة النشرPublished - 2021

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