WFRF:(Kim Sunghan)
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- Kim, SunghanSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea. (author)
HOMOGENIZATION OF THE BOUNDARY VALUE FOR THE DIRICHLET PROBLEM
- Article/chapterEnglish2019
Publisher, publication year, extent ...
- AMER INST MATHEMATICAL SCIENCES-AIMS,2019
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:kth-262758
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-262758URI
- https://doi.org/10.3934/dcds.2019234DOI
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-494658URI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
Classification
Notes
- QC 20191023
- In this paper, we give a mathematically rigorous proof of the averaging behavior of oscillatory surface integrals. Based on ergodic theory, we find a general geometric condition which we call irrational direction dense condition, abbreviated as IDDC, under which the averaging takes place. It should be stressed that IDDC does not imply any control on the curvature of the given surface. As an application, we prove homogenization for elliptic systems with Dirichlet boundary data, in C-1-domains.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Homogenization
- boundary layer
- oscillatory surface integral
- irrational direction
- corrector
Added entries (persons, corporate bodies, meetings, titles ...)
- Lee, Ki-AhmSeoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea.;Korea Inst Adv Study, Seoul 02455, South Korea. (author)
- Shahgholian, HenrikKTH,Matematik (Inst.)(Swepub:kth)u15h3xoo (author)
- Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea.Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea.;Korea Inst Adv Study, Seoul 02455, South Korea. (creator_code:org_t)
Related titles
- In:Discrete and Continuous Dynamical Systems: AMER INST MATHEMATICAL SCIENCES-AIMS39:12, s. 6843-68641078-09471553-5231
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