Time optimal problem for non linear parabolic equations and variational inequalities

J Henry,C Saguez

doi:10.1109/cdc.1978.268114

Time optimal problem for non linear parabolic equations and variational inequalities

J Henry, C Saguez

https://doi.org/10.1109/cdc.1978.268114

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Publication Date: Jan 1, 1978

Citations: 1

Affiliation: French Institute for Research in Computer Science and Automation

#Parabolic Variational Inequalities #Nonlinear Parabolic Equations + Show 8 more

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Abstract

Necessary conditions of optimality for the time optimal problem for nonlinear monotone parabolic equations are presented. For some problems governed by a parabolic variational inequality, these conditions are applied to a penalty problem associated with the inequality. Optimality conditions for the time optimal problem for the variational inequality are derived by passing to the limit in the penalizing term.

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