Displaying similar documents to “A generalized Itô's formula in two-dimensions and stochastic Lebesgue-Stieltjes integrals.”

Corrector results for a parabolic problem with a memory effect

Patrizia Donato, Editha C. Jose (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The aim of this paper is to provide the correctors associated to the homogenization of a parabolic problem describing the heat transfer. The results here complete the earlier study in [Jose, (2009) 189–222] on the asymptotic behaviour of a problem in a domain with two components separated by an -periodic interface. The physical model established in [Carslaw and Jaeger, The Clarendon Press, Oxford (1947)] prescribes on the interface the condition that the flux of...

Relativization of some aspects of the theory of functions of bounded variation

Krishna M. Garg

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We present here relativized versions of some aspects of the theory of functions of bounded variation, viz. relative to a function of bounded variation, without going into relative bounded variation. A few results have been known in this direction for some time when the functions involved are continuous, but due to the complications that arise when the functions are discontinuous, no systematic attempt seems to have been made in this direction in the past.Let B denote the linear space...