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Volume 24, Issue 3
A Note About Parabolic Systems and Analytic Semigroups

Gerhard Strohmer

DOI: 10.4208/jpde.v24.n3.4

J. Part. Diff. Eq., 24 (2011), pp. 281-288.

Published online: 2011-08

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  • Abstract

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.

  • Keywords

Parabolic systems cross diffusion analytic semigroups

  • AMS Subject Headings

35K40 35K50 35K90

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-24-281, author = {Gerhard Strohmer }, title = {A Note About Parabolic Systems and Analytic Semigroups}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {3}, pages = {281--288}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/5210.html} }
TY - JOUR T1 - A Note About Parabolic Systems and Analytic Semigroups AU - Gerhard Strohmer 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.

Gerhard Strohmer . (2011). A Note About Parabolic Systems and Analytic Semigroups. Journal of Partial Differential Equations. 24 (3). 281-288. doi:10.4208/jpde.v24.n3.4
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