# Elliptic estimates independent of domain expansion

Yonggeun Cho*, Tohru Ozawa, Yong Sun Shim

*この研究の対応する著者

1 被引用数 (Scopus)

## 抄録

In this paper, we consider elliptic estimates for a system with smooth variable coefficients on a domain Ω ⊆ 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 \in R 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.

本文言語 English 321-339 19 Calculus of Variations and Partial Differential Equations 34 3 https://doi.org/10.1007/s00526-008-0186-1 Published - 2009 3月 1 はい

• 分析
• 応用数学

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