Characterizing existence of minimizers and optimality to nonconvex quadratic integrals
The aim of this paper is to minimizing the integral of a (not necessarily convex) quadratic function in a bounded subset of nonnegative integrable functions defined on a finite-dimensional space that is not compact with respect to any (locally convex) topology in the space of integrable functions. As a special case, the proposed model can be applied to a standard quadratic optimization problem. The authors investigate optimality conditions for nonconvex quadratic integral functionals, and characterize the existence of minimizers and optimality. They also provide some numerical examples to show the applicability of their approach.
scientific article; zbMATH DE number 7359120