Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1437-1452 |
| Seitenumfang | 16 |
| Fachzeitschrift | Advances in nonlinear analysis |
| Jahrgang | 9 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 1 Jan. 2020 |
| Extern publiziert | Ja |
Abstract
We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0. The singularity of these solutions is of the same type as the singularity of a stationary solution to which they converge as t → ∞.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
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in: Advances in nonlinear analysis, Jahrgang 9, Nr. 1, 01.01.2020, S. 1437-1452.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Lack of smoothing for bounded solutions of a semilinear parabolic equation
AU - Fila, Marek
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-18-038 and by the VEGA grant 1/0347/18. Publisher Copyright: © 2020 Marek Fila and Johannes Lankeit, published by De Gruyter 2020.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0. The singularity of these solutions is of the same type as the singularity of a stationary solution to which they converge as t → ∞.
AB - We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0. The singularity of these solutions is of the same type as the singularity of a stationary solution to which they converge as t → ∞.
KW - semilinear parabolic equation
KW - singular gradient
UR - http://www.scopus.com/inward/record.url?scp=85082079467&partnerID=8YFLogxK
U2 - 10.1515/anona-2020-0059
DO - 10.1515/anona-2020-0059
M3 - Article
AN - SCOPUS:85082079467
VL - 9
SP - 1437
EP - 1452
JO - Advances in nonlinear analysis
JF - Advances in nonlinear analysis
SN - 2191-9496
IS - 1
ER -