Abstract
In this paper we consider the second-order parabolic partial differential systems and elliptic systems with C 1 space domains. We prove the existence and uniqueness results in the Sobolev spaces with weights. In this solution spaces the derivatives of solutions are allowed to blow up near the boundary and also the coefficients of the systems may oscillate to a great extent or blow up near the boundary.
| Original language | English |
|---|---|
| Pages (from-to) | 397-414 |
| Number of pages | 18 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 391 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2012 Jul 15 |
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Keywords
- Elliptic systems
- Parabolic systems
- Weighted Sobolev spaces
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
A W2n-theory of elliptic and parabolic partial differential systems in C 1 domains. / Kim, Kyeong Hun; Lee, Kijung.
In: Journal of Mathematical Analysis and Applications, Vol. 391, No. 2, 15.07.2012, p. 397-414.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A W2n-theory of elliptic and parabolic partial differential systems in C 1 domains
AU - Kim, Kyeong Hun
AU - Lee, Kijung
PY - 2012/7/15
Y1 - 2012/7/15
N2 - In this paper we consider the second-order parabolic partial differential systems and elliptic systems with C 1 space domains. We prove the existence and uniqueness results in the Sobolev spaces with weights. In this solution spaces the derivatives of solutions are allowed to blow up near the boundary and also the coefficients of the systems may oscillate to a great extent or blow up near the boundary.
AB - In this paper we consider the second-order parabolic partial differential systems and elliptic systems with C 1 space domains. We prove the existence and uniqueness results in the Sobolev spaces with weights. In this solution spaces the derivatives of solutions are allowed to blow up near the boundary and also the coefficients of the systems may oscillate to a great extent or blow up near the boundary.
KW - Elliptic systems
KW - Parabolic systems
KW - Weighted Sobolev spaces
UR - http://www.scopus.com/inward/record.url?scp=84862796830&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84862796830&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2012.02.061
DO - 10.1016/j.jmaa.2012.02.061
M3 - Article
AN - SCOPUS:84862796830
VL - 391
SP - 397
EP - 414
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -