Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition*

被引：0

作者：

Alexander Gladkov

机构：

[1] Belarusian State University,Department of Mechanics and Mathematics

来源：

Lithuanian Mathematical Journal | 2017年 / 57卷

关键词：

semilinear parabolic equation; nonlocal boundary condition; local solution; uniqueness; 35K20; 35K58; 35K61;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider an initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal Neumann boundary condition. We prove a comparison principle and the existence of a local solution and study the problem of uniqueness and nonuniqueness.

引用

页码：468 / 478

页数：10

共 50 条

[31] Mixed Problem with a Nonlinear Boundary Condition for a Semilinear Wave Equation
Jokhadze, O. M.
DIFFERENTIAL EQUATIONS, 2022, 58 (05) : 593 - 609
[32] Mixed Problem with a Nonlinear Boundary Condition for a Semilinear Wave Equation
O. M. Jokhadze
Differential Equations, 2022, 58 : 593 - 609
[33] ON A PARABOLIC EQUATION WITH NONLOCAL BOUNDARY-CONDITION
GIANNI, R
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1993, 3 (06): : 789 - 804
[34] Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
Ashyralyyev, Charyyar
Akkan, Pinar
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (16) : 1913 - 1935
[35] Partial boundary value condition for a nonlinear degenerate parabolic equation
Zhan, Huashui
Feng, Zhaosheng
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (05) : 2874 - 2890
[36] THE BLOW-UP PROFILE FOR A NONLOCAL NONLINEAR PARABOLIC EQUATION WITH A NONLOCAL BOUNDARY CONDITION
Chen, Youpeng
Liu, Lihua
QUARTERLY OF APPLIED MATHEMATICS, 2012, 70 (04) : 759 - 772
[37] Unboundedness of solutions of an initial-boundary value problem for a degenerate nonlinear parabolic equation
Pokrovskii, IL
DIFFERENTIAL EQUATIONS, 2001, 37 (06) : 834 - 838
[38] Unboundedness of Solutions of an Initial-Boundary Value Problem for a Degenerate Nonlinear Parabolic Equation
I. L. Pokrovskii
Differential Equations, 2001, 37 : 834 - 838
[39] Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition
Gladkov, Alexander
MONATSHEFTE FUR MATHEMATIK, 2024, 203 (02): : 357 - 372
[40] Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition
Alexander Gladkov
Monatshefte für Mathematik, 2024, 203 : 357 - 372

← 1 2 3 4 5 →