1979•Numerical Functional Analysis and OptimizationOpen access

Hadamard's variational formula for a mixed problem and an application to a problem related to a signorini-like variational inequality

Bernadette Palmerio, Alain Dervieux

Abstract

We give a variational formula for the solution of a Mixed Boundary Value Problem when the geometrical domain is perturbed (Hadamard's Variational Formula) ; we show that this formula contains singularities ; the result is used to construct a new approach to the optimal control problem for a problem related to a Signorini-like Elliptic Variational Inequality.

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Key concepts: Mathematics, Variational inequality, Hadamard transform, Gravitational singularity, Domain (mathematical analysis), Mathematical analysis, Boundary value problem, Applied mathematics