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On a problem of cross-diffusion with nonlocal boundary conditions Zafar R. Rakhmonova, Jasur E. Urunbayevb a National University of Uzbekistan, University, 4, Tashkent, 100174, Uzbekistan b Samarkand State University, University Blvd., 15, Samarkand, 140104, Uzbekistan Abstract: 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, cross-diffusion, critical Fujita curve, blow-up. DOI: https://doi.org/10.17516/1997-1397-2019-12-5-614-620   Full text:
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UDC: 517.957 Received: 01.04.2019 Received in revised form: 15.06.2019 Accepted: 20.08.2019 Language: Citation: Zafar R. Rakhmonov, Jasur E. Urunbayev, “On a problem of cross-diffusion with nonlocal boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 
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