Details
| Original language | English |
|---|---|
| Pages (from-to) | 37-57 |
| Number of pages | 21 |
| Journal | Asymptotic analysis |
| Volume | 114 |
| Issue number | 1-2 |
| Publication status | Published - 12 Aug 2019 |
| Externally published | Yes |
Abstract
We study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.
Keywords
- Heat equation, dynamical boundary condition, large diffusion limit
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Asymptotic analysis, Vol. 114, No. 1-2, 12.08.2019, p. 37-57.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition
AU - Fila, Marek
AU - Ishige, Kazuhiro
AU - Kawakami, Tatsuki
AU - Lankeit, Johannes
N1 - Funding Information: The first author was supported in part by the Slovak Research and Development Agency under the contract No. APVV-14-0378 and by the VEGA grant 1/0347/18. The second author was supported in part by the Grant-in-Aid for Scientific Research (A) (No. 15H02058) from Japan Society for the Promotion of Science. The third author was supported by the Grant-in-Aid for Young Scientists (B) (No. 16K17629) from Japan Society for the Promotion of Science.
PY - 2019/8/12
Y1 - 2019/8/12
N2 - We study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.
AB - We study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.
KW - Heat equation
KW - dynamical boundary condition
KW - large diffusion limit
UR - http://www.scopus.com/inward/record.url?scp=85070901835&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1901.00017
DO - 10.48550/arXiv.1901.00017
M3 - Article
VL - 114
SP - 37
EP - 57
JO - Asymptotic analysis
JF - Asymptotic analysis
SN - 0921-7134
IS - 1-2
ER -