On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions

被引：0

作者：

Rakhmonov, Zafar R. ^{[1
]}

Urunbayev, Jasur E. ^{[2
]}

机构：

[1] Natl Univ Uzbekistan, Univ 4, Tashkent 100174, Uzbekistan

[2] Samarkand State Univ, Univ Blvd 15, Samarkand 140104, Uzbekistan

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2019年 / 12卷 / 05期

关键词：

nonlinear parabolic system; cross-diffusion; critical Fujita curve; blow up; CRITICAL EXPONENTS; PARABOLIC-SYSTEM; HEAT-EQUATIONS;

D O I：

10.17516/1997-1397-2019-12-5-614-620

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：614 / 620

页数：7

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