Abstract:An elliptic second order linear operator is approximated by the transition operator of a Markov chain, and the solution to the corresponding approximate boundary value problem is expanded in terms of a small parameter, up to the first order term. In characterizing the boundary values of the first order term in the expansion, a problem of a boundary layer arises, which is treated by probabilistic methods.
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- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 235 (1978), 375-385
- MSC: Primary 60J60
- DOI: https://doi.org/10.1090/S0002-9947-1978-0461686-1
- MathSciNet review: 0461686