A general technique to prove upper bounds for singular perturbation problems
نویسندگان
چکیده
منابع مشابه
A General Technique to Prove Upper Bounds for Singular Perturbation Problems
* Firstly, we wish to find a lower bound, i.e. the functional I(φ) such that for every family {φε}ε>0, satisfying φε → φ as ε → 0 , we have limε→0+ Iε(φε) ≥ I(φ). ** Secondly, we wish to find an upper bound, i.e. the functional I(φ) such that there exists the family {ψε}ε>0, satisfying ψε → φ as ε → 0 , and we have limε→0+ Iε(ψε) ≤ I(φ). *** If we obtain I(φ) = I(φ) := I(φ), then I(φ) will be t...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2008
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-008-0024-6