Xuhuan Zhou, Weiliang Xiao
Abstract:
We prove the existence of a non-negative solution for a linear degenerate
diffusion transport equation from which we derive the existence and
uniqueness of the solution for the fractional porous medium equation in
Sobolev spaces
with nonnegative initial data,
.
We also correct a mistake in our previous paper [14].
Submitted December 22, 2016. Published October 3, 2017.
Math Subject Classifications: 35K55, 35K65, 76S05.
Key Words: Fractional porous medium equation; Sobolev space;
degenerate diffusion transport equation.
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Xuhuan Zhou Department of Information Technology Nanjing Forest Police College 210023 Nanjing, China email: zhouxuhuan@163.com | |
Weiliang Xiao School of Applied Mathematics Nanjing University of Finance and Economics 210023 Nanjing, China email: xwltc123@163.com |
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