Initial-Boundary-Value Problem for a Semilinear Parabolic Equation with Nonlinear Nonlocal Boundary Conditions

被引：9

作者：

Gladkov, A. L. ^{[1
]}

Kavitova, T. V. ^{[2
]}

机构：

[1] Belorussian State Univ, Minsk, BELARUS

[2] Masherov Vitebsk State Univ, Vitebsk, BELARUS

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2016年 / 68卷 / 02期

关键词：

HEAT-EQUATION; BLOW-UP; SYSTEM; UNIQUENESS; ABSORPTION; BEHAVIOR;

D O I：

10.1007/s11253-016-1217-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove the principle of comparison, establish the existence of local solutions, and study the problem of uniqueness and nonuniqueness.

引用

页码：179 / 192

页数：14

共 21 条

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[2]

[Anonymous], 2009, ADV MATH SCI APPL, V19, P39

[3]

[Anonymous], 2011, BLOW THEORIES SEMILI

[4]

[Anonymous], INT J PART DIFFERENT