This paper studies fully convex problems of Bolza in the conjugate duality framework of Rockafellar. We parameterize the problem by a general Borel measure which has a direct interpretation in certain problems of financial economics. We derive a dual representation for the optimal value function in terms of continuous dual trajectories and we give conditions for the existence of solutions. Comb...

Positive perturbations of generators of locally Lipschitz continuous increasing integrated semigroups on an abstract L space are again generators of locally Lipschitz continuous increasing integrated semigroups. Positive perturbations of generators of positive dual semigroups on a dual abstract L space are generators of semigroups that are weakly∗ right continuous. These results are reformulate...

A discretization is dual consistent if it leads to a discrete dual problem that is a consistent approximation of the corresponding continuous dual problem. This paper investigates the impact of dual consistency on high-order summation-by-parts finite-difference schemes. In particular, dual consistent schemes lead to superconvergent functionals and accurate functional error estimates. Numerical ...

The Gibbs measure theory for smooth potentials is an old and beautiful subject and has many important applications in modern dynamical systems. For continuous potentials, it is impossible to have such a theory in general. However, we develop a dual geometric Gibbs type measure theory for certain continuous potentials in this paper following some ideas and techniques from Teichmüller theory for ...

We consider Continuous Linear Programs over a continuous finite time horizon T , with linear cost coefficient functions, linear right hand side functions, and a constant coefficient matrix, as well as their symmetric dual. We search for optimal solutions in the space of measures or of functions of bounded variation. These models generalize the Separated Continuous Linear Programming models and ...

We investigate possible preduals of the measure algebra M(G) of a locally compact group and the Fourier algebra A(G) of a separable compact group. Both of these algebras are canonically dual spaces and the canonical preduals make the multiplication separately weak∗-continuous so that these algebras are dual Banach algebras. In this paper we find additional conditions under which the preduals C0...

two yeast isolates, a4 and a5 of candida membranifuciens and one isolate, a6 of pichia guilliermondii were tested either separately or in mixture for their effectiveness against apple gray mold, caused by botrytis cinerea pres.: fr. as regards the compatibility of the biocontrol agents, it was shown that yeast isolates were compatible with each other in liquid media. results of the experiments ...