Skip to content

Messaoud Boulbrachene, $L^{\infty}$ error estimate for a class of semilinear elliptic systems of quasi-variational inequalities

Full Text: PDF
DOI: 10.23952/jnva.5.2021.3.07

Volume 5, Issue 3, 1 June 2021, Pages 429-440

 

Abstract. 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^{\infty} error estimate of the approximation.

 

How to Cite this Article:
Messaoud Boulbrachene, L^{\infty} error estimate for a class of semilinear elliptic systems of quasi-variational inequalities, J. Nonlinear Var. Anal. 5 (2021), 429-440.