Pseudodifferential parabolic equations in uniform spaces

被引：5

作者：

Dlotko, Tomasz W. ^{[1
]}

Kania, Maria B. ^{[1
]}

Sun, Chunyou ^{[2
]}

机构：

[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 01期

关键词：

fractal parabolic equation; fractional powers of sectorial operator; locally uniform spaces; global solution; global attractor; 35S10; 35B40; 35K90; FRACTIONAL-POWERS; UNBOUNDED-DOMAINS; ATTRACTORS;

D O I：

10.1080/00036811.2012.753587

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to local and global solvability in locally uniform spaces and to the existence of a global attractor for a parabolic problem containing fractional power of the minus Laplace operator. Several useful technical tools and estimates are also collected in this paper.

引用

页码：14 / 34

页数：21

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