In this article, a solution to a semi-linear PDE is obtained by taking the minimum of solutions to related linear PDEs over an infinite-dimensional space of discount boundaries. By restricting the ...

Transactions of the American Mathematical Society, Vol. 347, No. 7 (Jul., 1995), pp. 2585-2594 (10 pages) We take an algebraic approach to the problem of approximation by dilated shifts of basis ...

Transactions of the American Mathematical Society, Vol. 358, No. 8 (Aug., 2006), pp. 3363-3383 (21 pages) We investigate microlocal properties of partial differential operators with generalized ...