{"year":"2022","_id":"63295","title":"Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects","citation":{"ama":"Lankeit J, Winkler M. Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. <i>Journal of Evolution Equations</i>. 2022;22(1). doi:<a href=\"https://doi.org/10.1007/s00028-022-00768-9\">10.1007/s00028-022-00768-9</a>","chicago":"Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction–Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptive Effects.” <i>Journal of Evolution Equations</i> 22, no. 1 (2022). <a href=\"https://doi.org/10.1007/s00028-022-00768-9\">https://doi.org/10.1007/s00028-022-00768-9</a>.","apa":"Lankeit, J., &#38; Winkler, M. (2022). Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. <i>Journal of Evolution Equations</i>, <i>22</i>(1), Article 14. <a href=\"https://doi.org/10.1007/s00028-022-00768-9\">https://doi.org/10.1007/s00028-022-00768-9</a>","short":"J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).","bibtex":"@article{Lankeit_Winkler_2022, title={Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects}, volume={22}, DOI={<a href=\"https://doi.org/10.1007/s00028-022-00768-9\">10.1007/s00028-022-00768-9</a>}, number={114}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }","ieee":"J. Lankeit and M. Winkler, “Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects,” <i>Journal of Evolution Equations</i>, vol. 22, no. 1, Art. no. 14, 2022, doi: <a href=\"https://doi.org/10.1007/s00028-022-00768-9\">10.1007/s00028-022-00768-9</a>.","mla":"Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction–Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptive Effects.” <i>Journal of Evolution Equations</i>, vol. 22, no. 1, 14, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s00028-022-00768-9\">10.1007/s00028-022-00768-9</a>."},"publisher":"Springer Science and Business Media LLC","publication":"Journal of Evolution Equations","user_id":"31496","article_number":"14","issue":"1","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>We introduce a generalized concept of solutions for reaction–diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special in that it merely controls the growth of cross-absorptive terms. The result covers nonlinear diffusion and does not rely on an entropy estimate.</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"publication_status":"published","doi":"10.1007/s00028-022-00768-9","status":"public","author":[{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"first_name":"Michael","id":"31496","last_name":"Winkler","full_name":"Winkler, Michael"}],"type":"journal_article","volume":22,"publication_identifier":{"issn":["1424-3199","1424-3202"]},"date_created":"2025-12-18T19:22:46Z","date_updated":"2025-12-18T20:08:35Z","intvolume":"        22"}