Results 21 to 30 of about 54 (49)

A duality theorem for solutions of elliptic equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 73-85, 1990., 1990
Let L be a second order linear partial differential operator of elliptic type on a domain Ω of ℝm with coefficients in C∞(Ω). We consider the linear space of all solutions of the equation Lu = 0 on Ω with the topology of uniform convergence on compact subsets and describe the topological dual of this space. It turns out that this dual may be identified
Pierre Blanchet
wiley   +1 more source

Applications of the penalty function method in constrained optimal control problems

open access: yesInternational Journal of Stochastic Analysis, Volume 2, Issue 4, Page 251-265, 1989., 1989
This paper uses the penalty function method to solve constrained optimal control problems. Under suitable assumptions, we can solve a constrained optimal control problem by solving a sequence of unconstrained optimal control problems. In turn, the constrained solution to the main problem can be obtained as the limit of the solutions of the sequence. In
An-qing Xing
wiley   +1 more source

On Convex Topological Linear Spaces. [PDF]

open access: yesProc Natl Acad Sci U S A, 1943
Mackey GW.
europepmc   +1 more source

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