Well-posedness for a Class of Pseudodifferential Diffusion Equations on the Torus

被引：0
|
作者：
Delgado, Julio [1 ]
机构：
[1] Univ Valle, Dept Matemat, Calle 13 100-00, Cali 76001, Colombia
来源：
RESULTS IN MATHEMATICS | 2022年 / 77卷 / 05期
关键词：
Fractional diffusion; pseudodifferential operators; well-posedness; periodic pseudodifferential operators; FRACTIONAL LAPLACIAN; REGULARITY;
D O I：
10.1007/s00025-022-01713-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we establish the well-posedness of the Cauchy problem for a class of pseudodifferential diffusion equations on the torus. The class considered includes fractional diffusion equations and as a special case we consider fractional diffusion equations with drift. By applying toroidal pseudodifferential calculus we establish regularity estimates, existence and uniqueness with respect to the usual Sobolev spaces on the torus.
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页数：14
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