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Currently displaying 1 – 7 of 7

Order by Relevance | Title | Year of publication

Singularities of polar curves

E. Casas-Alvero — 1993

Compositio Mathematica

Infinitely near imposed singularities and singularities of polar curves.

E. Casas-Alvero — 1990

Mathematische Annalen

Filtrations by Complete Ideals and Applications

E. Casas Alvero — 1993

Cours de l'institut Fourier

Filtrations by complete ideals and applications.

E. Casas Alvero — 1998

Collectanea Mathematica

An algorithm for indefinite quadratic programming based on a partial Cholesky factorization

E. Casas; C. Pola — 1993

RAIRO - Operations Research - Recherche Opérationnelle

Optimal control of an ill-posed elliptic semilinear equation with an exponential non linearity

E. Casas; O. Kavian; J.-P. Puel — 1998

ESAIM: Control, Optimisation and Calculus of Variations

Optimal control of an ill-posed elliptic semilinear equation with an exponential non linearity

E. Casas; O. Kavian; J.-P. Puel — 2010

ESAIM: Control, Optimisation and Calculus of Variations

We study here an optimal control problem for a semilinear elliptic equation with an exponential nonlinearity, such that we cannot expect to have a solution of the state equation for any given control. We then have to speak of pairs (control, state). After having defined a suitable functional class in which we look for solutions, we prove existence of an optimal pair for a large class of cost functions using a non standard compactness argument. Then, we derive a first order optimality system assuming...

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