Geodesic
Properties of spatial structures for reaction–nonlinear diffusion equations subject to Dirichlet conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1840-1848 
V. N. Razzhevaikin. Properties of spatial structures for reaction–nonlinear diffusion equations subject to Dirichlet conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1840-1848. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a7/
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     title = {Properties of spatial structures for reaction{\textendash}nonlinear diffusion equations subject to {Dirichlet} conditions},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For reaction–nonlinear diffusion equations subject to Dirichlet homogeneous boundary value conditions, the properties of alternation of stable and unstable time-independent unimodal solutions are investigated. For the case of constant diffusion, formulas for the functions determining the type of stability are given and the results of their application to the case of quadratic nonlinearity in the source term are presented.

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