Exponential decay of a solution for some parabolic equation involving a time nonlocal term

Title:

Exponential decay of a solution for some parabolic equation involving a time nonlocal term

Creator:

Kumazaki, Kota

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b81ed1cf-daad-41a5-b179-7b29710f2d8c
uuid:b81ed1cf-daad-41a5-b179-7b29710f2d8c
doi:10.21136/MB.2015.144321

Subject:

large time behavior, exponential decay, and nonlinear parabolic equation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider the large time behavior of a solution of a parabolic type equation involving a nonlocal term depending on the unknown function. This equation is proposed as a mathematical model of carbon dioxide transport in concrete carbonation process, and we proved the existence, uniqueness and large time behavior of a solution of this model. In this paper, we derive the exponential decay estimate of the solution of this model under restricted boundary data and initial data.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

129-137

Source:

Mathematica bohemica | 2015 Volume:140 | Number:2

Harvested from:

CDK

Metadata only:

false