Regularity Results for Time-Dependent Variational and Quasi-Variational Inequalities and Application to Calculation of Dynamic Traffic Network
Abstract
The aim of this paper is to consider time-dependent variational and
quasi-variational inequalities and to study under which assumptions
the continuity of solutions with respect to the time can be ensured.
Making on appropriate use of the set convergence in Mosco's sense,
we get the desiderate continuity results for strongly monotone
variational and quasi-variational inequalities. The continuity
results allow us to provide a discretization procedure for the
calculation of the solution to the variational inequality which
expresses the time-dependent traffic network equilibrium problem.
[DOI: 10.1685 / CSC06014] About DOI
quasi-variational inequalities and to study under which assumptions
the continuity of solutions with respect to the time can be ensured.
Making on appropriate use of the set convergence in Mosco's sense,
we get the desiderate continuity results for strongly monotone
variational and quasi-variational inequalities. The continuity
results allow us to provide a discretization procedure for the
calculation of the solution to the variational inequality which
expresses the time-dependent traffic network equilibrium problem.
[DOI: 10.1685 / CSC06014] About DOI
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PDFDOI: https://doi.org/10.1685/
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