Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls - Université de Toulon Access content directly
Journal Articles Numerical Functional Analysis and Optimization Year : 1997

Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls

Abstract

We consider optimal control problems governed by semilinear elliptic equations with pointwise constraints on the state variable. The main difference with previous papers is that we consider nonlinear boundary conditions, elliptic operators with discontinuous leading coefficients and unbounded controls. We can deal with problems with integral control constraints and the control may be a coefficient of order zero in the equation. We derive optimality conditions by means of a new Lagrange multiplier theorem in Banach spaces.
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Dates and versions

hal-00993905 , version 1 (20-05-2014)

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  • HAL Id : hal-00993905 , version 1

Cite

Jean-Jacques Alibert, Jean-Pierre Raymond. Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls. Numerical Functional Analysis and Optimization, 1997, 18 (3-4), pp.235-250. ⟨hal-00993905⟩
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