Existence and asymptotic behavior of a parabolic equation with L1 data

被引：3
|
作者：
Moreno-Merida, Lourdes [1 ]
Porzio, Maria Michaela [2 ]
机构：
[1] Univ Granada, Dept Anal Matemat, Granada 18071, Spain
[2] Sapienza Univ Roma, Dipartimento Matemat, Piazzale A Moro 2, I-00185 Rome, Italy
来源：
ASYMPTOTIC ANALYSIS | 2020年 / 118卷 / 03期
关键词：
Regularizing effect; asymptotic behavior; regularity of solutions; linear parabolic equations; COEFFICIENTS; INTERPLAY; UNIFORM;
D O I：
10.3233/ASY-191558
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a parabolic equation with the data and the coefficient of zero order term only summable functions. Despite all this lack of regularity we prove that there exists a solution which becomes immediately bounded. Moreover, we study the asymptotic behavior of this solution in the autonomous case showing that the constructed solution tends to the associate stationary solution.
引用
下载
收藏
页码：143 / 159
页数：17
相关论文
共 50 条
12345