Abstract
We prove the existence of unique solutions to Dirichlet boundary value problems for linear second-order uniformly parabolic operators in either divergence or non-divergence form with boundary blowup low-order coefficients. The domain is possibly time varying, non-smooth, and satisfies an exterior measure condition.
| Original language | English |
|---|---|
| Pages (from-to) | 1282-1313 |
| Number of pages | 32 |
| Journal | Communications in Partial Differential Equations |
| Volume | 40 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2015 Jul 3 |
| Externally published | Yes |
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Keywords
- Blowup low-order coefficients
- Exterior measure condition
- Parabolic Dirichlet boundary value problems
- Time-varying domain
- Vanishing mean oscillation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
Boundary Value Problems for Parabolic Operators in a Time-Varying Domain. / Cho, Sungwon; Dong, Hongjie; Kim, Doyoon.
In: Communications in Partial Differential Equations, Vol. 40, No. 7, 03.07.2015, p. 1282-1313.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Boundary Value Problems for Parabolic Operators in a Time-Varying Domain
AU - Cho, Sungwon
AU - Dong, Hongjie
AU - Kim, Doyoon
PY - 2015/7/3
Y1 - 2015/7/3
N2 - We prove the existence of unique solutions to Dirichlet boundary value problems for linear second-order uniformly parabolic operators in either divergence or non-divergence form with boundary blowup low-order coefficients. The domain is possibly time varying, non-smooth, and satisfies an exterior measure condition.
AB - We prove the existence of unique solutions to Dirichlet boundary value problems for linear second-order uniformly parabolic operators in either divergence or non-divergence form with boundary blowup low-order coefficients. The domain is possibly time varying, non-smooth, and satisfies an exterior measure condition.
KW - Blowup low-order coefficients
KW - Exterior measure condition
KW - Parabolic Dirichlet boundary value problems
KW - Time-varying domain
KW - Vanishing mean oscillation
UR - http://www.scopus.com/inward/record.url?scp=84944444158&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84944444158&partnerID=8YFLogxK
U2 - 10.1080/03605302.2015.1019628
DO - 10.1080/03605302.2015.1019628
M3 - Article
AN - SCOPUS:84944444158
VL - 40
SP - 1282
EP - 1313
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
SN - 0360-5302
IS - 7
ER -