Geodesic
On a problem of cross-diffusion with nonlocal boundary conditions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 614-620

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Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper. Critical exponents of Fujita type and critical exponents of global existence of solution are established.
Keywords: nonlinear parabolic system, critical Fujita curve, blow-up.
Mots-clés : cross-diffusion 
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     title = {On a problem of cross-diffusion with nonlocal boundary conditions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Zafar R. Rakhmonov; Jasur E. Urunbayev. On a problem of cross-diffusion with nonlocal boundary conditions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 614-620. http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a9/