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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Journal articles
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https://hal-univ-tln.archives-ouvertes.fr/hal-00993905
Contributor : Jean-Jacques Alibert <>
Submitted on : Tuesday, May 20, 2014 - 5:14:33 PM
Last modification on : Monday, April 29, 2019 - 3:41:26 PM

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  • HAL Id : hal-00993905, version 1

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

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