Stability and instability of equilibria on singular domains
Maria Gokieli ; Nicolas Varchon
Banach Center Publications, Tome 86 (2009), p. 103-113 / Harvested from The Polish Digital Mathematics Library
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We show existence of nonconstant stable equilibria for the Neumann reaction-diffusion problem on domains with fractures inside. We also show that the stability properties of all hyperbolic equilibria remain unchanged under domain perturbation in a quite general sense, covered by the theory of Mosco convergence.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:281732 
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     author = {Maria Gokieli and Nicolas Varchon},
     title = {Stability and instability of equilibria on singular domains},
     journal = {Banach Center Publications},
     volume = {86},
     year = {2009},
     pages = {103-113},
     zbl = {1180.35106},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-6}
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Maria Gokieli; Nicolas Varchon. Stability and instability of equilibria on singular domains. Banach Center Publications, Tome 86 (2009) pp. 103-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-6/