Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces
| dc.contributor.author | Zhou, Xuhuan | |
| dc.contributor.author | Xiao, Weiliang | |
| dc.date.accessioned | 2022-08-03T20:26:22Z | |
| dc.date.available | 2022-08-03T20:26:22Z | |
| dc.date.issued | 2017-10-03 | |
| dc.description.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 Hα with nonnegative initial data, α > d/2 + 1. We also correct a mistake in our previous paper [14]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhou, X., & Xiao, W. (2017). Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces. <i>Electronic Journal of Differential Equations, 2017</i>(238), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16030 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional porous medium equation | |
| dc.subject | Sobolev space | |
| dc.subject | Degenerate diffusion transport equation | |
| dc.title | Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces | |
| dc.type | Article |