{"author":[{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael","id":"31496"}],"status":"public","doi":"10.1007/s00208-018-1722-8","publication_status":"published","language":[{"iso":"eng"}],"date_updated":"2025-12-19T10:58:06Z","intvolume":"       373","date_created":"2025-12-19T10:57:59Z","publication_identifier":{"issn":["0025-5831","1432-1807"]},"type":"journal_article","volume":373,"_id":"63361","citation":{"short":"M. Winkler, Mathematische Annalen 373 (2018) 1237–1282.","apa":"Winkler, M. (2018). How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. <i>Mathematische Annalen</i>, <i>373</i>(3–4), 1237–1282. <a href=\"https://doi.org/10.1007/s00208-018-1722-8\">https://doi.org/10.1007/s00208-018-1722-8</a>","chicago":"Winkler, Michael. “How Unstable Is Spatial Homogeneity in Keller-Segel Systems? A New Critical Mass Phenomenon in Two- and Higher-Dimensional Parabolic-Elliptic Cases.” <i>Mathematische Annalen</i> 373, no. 3–4 (2018): 1237–82. <a href=\"https://doi.org/10.1007/s00208-018-1722-8\">https://doi.org/10.1007/s00208-018-1722-8</a>.","ama":"Winkler M. How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases. <i>Mathematische Annalen</i>. 2018;373(3-4):1237-1282. doi:<a href=\"https://doi.org/10.1007/s00208-018-1722-8\">10.1007/s00208-018-1722-8</a>","ieee":"M. Winkler, “How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases,” <i>Mathematische Annalen</i>, vol. 373, no. 3–4, pp. 1237–1282, 2018, doi: <a href=\"https://doi.org/10.1007/s00208-018-1722-8\">10.1007/s00208-018-1722-8</a>.","mla":"Winkler, Michael. “How Unstable Is Spatial Homogeneity in Keller-Segel Systems? A New Critical Mass Phenomenon in Two- and Higher-Dimensional Parabolic-Elliptic Cases.” <i>Mathematische Annalen</i>, vol. 373, no. 3–4, Springer Science and Business Media LLC, 2018, pp. 1237–82, doi:<a href=\"https://doi.org/10.1007/s00208-018-1722-8\">10.1007/s00208-018-1722-8</a>.","bibtex":"@article{Winkler_2018, title={How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases}, volume={373}, DOI={<a href=\"https://doi.org/10.1007/s00208-018-1722-8\">10.1007/s00208-018-1722-8</a>}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2018}, pages={1237–1282} }"},"title":"How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases","page":"1237-1282","year":"2018","issue":"3-4","publisher":"Springer Science and Business Media LLC","publication":"Mathematische Annalen","user_id":"31496"}