2024-03-28T19:46:11Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696852022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116ELLIPTIC ESTIMATES INDEPENDENT OF DOMAIN EXPANSIONCho, YonggeunOzawa, TohruShim, Yong-Sunopen access410In this paper, we consider elliptic estimates for a system with mooth variable coeffcients on a domain ½ Rn; n ¸ 2 containing the origin. e first show the invariance of the estimates under a domain expansion de¯ned y the scale that y = Rx, x; y 2 Rn with parameter R > 1, provided that the oeffcients are in a homogeneous Sobolev space. Then we apply these invariant stimates to the global existence of unique strong solutions to a parabolic ystem de¯ned on an unbounded domain.Department of Mathematics, Hokkaido University2007engdepartmental bulletin paperVoRhttps://doi.org/10.14943/84026http://hdl.handle.net/2115/6968510.14943/84026Hokkaido University Preprint Series in Mathematics876120https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69685/1/pre876.pdfapplication/pdf247.74 KB2007