<p>This paper deals with the numerical analysis of noncoercive quasivariational inequalities related to impulse control problems with nonlinear source term. The optimally <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3322_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi mathvariant="normal">∞</mi> </msup> </math></EquationSource> <EquationSource Format="TEX">$L^{\infty}$</EquationSource> </InlineEquation>-error estimate is derived by adopting an algorithmic approach.</p>

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Optimal error estimate for the noncoercive quasivariational inequality with nonlinear source term related to impulse control problems

  • Nesrine Amari,
  • Abida Harbi,
  • Mohamed Haiour

摘要

This paper deals with the numerical analysis of noncoercive quasivariational inequalities related to impulse control problems with nonlinear source term. The optimally L $L^{\infty}$ -error estimate is derived by adopting an algorithmic approach.