Year: 2018
Author: Xitao Li, Meng Xu, Shulin Zhou
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 3 : pp. 252–273
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n3.5
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 3 : pp. 252–273
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Fractional parabolic equation