TY - JOUR T1 - A Note About Parabolic Systems and Analytic Semigroups JO - Journal of Partial Differential Equations VL - 3 SP - 281 EP - 288 PY - 2011 DA - 2011/08 SN - 24 DO - http://doi.org/10.4208/jpde.v24.n3.4 UR - https://global-sci.org/intro/article_detail/jpde/5210.html KW - Parabolic systems KW - cross diffusion KW - analytic semigroups AB -

We investigate the question whether certain parabolic systems in the sense of Petrovskii fulfill the resolvent estimate required for the generation of an analytic semigroup and apply the result to a problem concerning the diffusion of gases.