In Part I we construct an upper bound, in the spirit of F- lim, achieved by multidimensional profiles, for some general classes of singular perturbation problems, with or without the prescribed differential constraint, taking the form (eqution presented) where the function F ≥ 0 and A : ℝk×N → ℝm is a prescribed linear operator (for example, A :Ξ 0, A.∇v := curl v, and A.∇ = div v) which includes, in particular, the problems considered in . This bound is in general sharper then the one obtained in .
|Number of pages||56|
|Journal||Differential and Integral Equations|
|State||Published - 1 Sep 2013|
ASJC Scopus subject areas
- Applied Mathematics