Elliptic estimates independent of domain expansion
SCIE
SCOPUS
- Title
- Elliptic estimates independent of domain expansion
- Authors
- Cho, YG; Ozawa, T; Shim, YS
- Date Issued
- 2009-03
- Publisher
- SPRINGER
- Abstract
- In this paper, we consider elliptic estimates for a system with smooth variable coefficients on a domain Omega subset of R(n), n >= 2 containing the origin. We first show the invariance of the estimates under a domain expansion defined by the scale that y = Rx, x, y is an element of R(n) with parameter R > 1, provided that the coefficients are in a homogeneous Sobolev space. Then we apply these invariant estimates to the global existence of unique strong solutions to a parabolic system defined on an unbounded domain.
- Keywords
- PARTIAL DIFFERENTIAL EQUATIONS; GENERAL BOUNDARY CONDITIONS; EXISTENCE; FLUIDS; VACUUM
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29151
- DOI
- 10.1007/S00526-008-0
- ISSN
- 0944-2669
- Article Type
- Article
- Citation
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 34, no. 3, page. 321 - 339, 2009-03
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