Cauchy Problem for a Fractional Parabolic Equation with the Advection

被引：0

作者：

Li Xitao ^{[1
]}

Xu Meng ^{[2
]}

Zhou Shulin ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 31卷 / 03期

关键词：

Fractional parabolic equation; Cauchy problem; existence; regularity;

D O I：

10.4208/jpde.v31.n3.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give an explicit formula of the solution to Cauchy problem of a fractional parabolic equation with the advection, and then prove the solvability of Cauchy problem and further Schauder-type regularity of the solution under appropriate conditions on the initial value and the right-hand side term.

引用

页码：252 / 273

页数：22

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