Irregular convergence of mild solutions of semilinear equations
| dc.contributor.author | Bobrowski, Adam | |
| dc.contributor.author | Kunze, Markus | |
| dc.date.accessioned | 2019-02-07T10:27:25Z | |
| dc.date.available | 2019-02-07T10:27:25Z | |
| dc.date.issued | 2019-04 | eng |
| dc.description.abstract | We prove that even irregular convergence of semigroups of operators implies similar convergence of mild solutions of the related semi-linear equations with Lipschitz continuous nonlinearity. This result is then applied to three models originating from mathematical biology: shadow systems, diffusions on thin layers, and dynamics of neurotransmitters. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1016/j.jmaa.2018.11.082 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/44897 | |
| dc.language.iso | eng | eng |
| dc.subject | Semigroups of operators, Semi-linear equations, Singular perturbations, Shadow systems, Thin layers, Signaling pathways | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Irregular convergence of mild solutions of semilinear equations | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Bobrowski2019-04Irreg-44897,
year={2019},
doi={10.1016/j.jmaa.2018.11.082},
title={Irregular convergence of mild solutions of semilinear equations},
number={2},
volume={472},
issn={0022-247X},
journal={Journal of Mathematical Analysis and Applications},
pages={1401--1419},
author={Bobrowski, Adam and Kunze, Markus}
} | |
| kops.citation.iso690 | BOBROWSKI, Adam, Markus KUNZE, 2019. Irregular convergence of mild solutions of semilinear equations. In: Journal of Mathematical Analysis and Applications. 2019, 472(2), pp. 1401-1419. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2018.11.082 | deu |
| kops.citation.iso690 | BOBROWSKI, Adam, Markus KUNZE, 2019. Irregular convergence of mild solutions of semilinear equations. In: Journal of Mathematical Analysis and Applications. 2019, 472(2), pp. 1401-1419. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2018.11.082 | eng |
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