Global existence in reaction-diffusion systems with control of mass: a survey

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Publication:720022

DOI10.1007/s00032-010-0133-4zbMath1222.35106OpenAlexW2138620270MaRDI QIDQ720022

Michel Pierre

Publication date: 13 October 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-010-0133-4



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Cites Work