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- Byström, JohanLuleå tekniska universitet,Matematiska vetenskaper (author)
Correctors for some nonlinear monotone operators
- Article/chapterEnglish2001
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- 2001
- Springer Science and Business Media LLC,2001
- electronicrdacarrier
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- LIBRIS-ID:oai:DiVA.org:ltu-12987
- https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-12987URI
- https://doi.org/10.2991/jnmp.2001.8.1.2DOI
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- Language:English
- Summary in:English
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- Validerad; 2001; 20070107 (ysko)
- In this paper we study homogenization of quasi-linear partial differential equations of the form -div (a (x, x/εh,Duh)) = fh on Ω with Dirichlet boundary conditions. Here the sequence (εh) tends to 0 as h→∞ and the map a (x, y, ξ) is periodic in y, monotone in ξ and satisfies suitable continuity conditions.W e prove that uh → u weakly in W1,p 0 (Ω) as h → ∞, where u is the solution of a homogenized problem of the form -div (b (x,Du)) = f on Ω. We also derive an explicit expression for the homogenized operator b and prove some corrector results, i.e. we find (Ph) such that Duh -Ph (Du) → 0 in Lp (Ω,Rn). () 0 in (Ω).
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Mathematics
- Matematik
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- Luleå tekniska universitetMatematiska vetenskaper (creator_code:org_t)
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- In:Journal of Nonlinear Mathematical Physics: Springer Science and Business Media LLC8:1, s. 8-301402-92511776-0852
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