Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption
| dc.contributor.author | Dao, Nguyen Anh | |
| dc.date.accessioned | 2021-08-23T17:43:01Z | |
| dc.date.available | 2021-08-23T17:43:01Z | |
| dc.date.issued | 2021-04-13 | |
| dc.description.abstract | In this article we study the solutions of a general fractional parabolic porous medium equation with a non-Lipschitz absorption term. We obtain the existence of weak solutions, Lp-estimates, and decay estimates. Also, we show that weak solutions must vanish after a finite time, even for large initial data. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dao, N. A. (2021). Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption. <i>Electronic Journal of Differential Equations, 2021</i>(29), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14426 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlocal nonlinear parabolic equation | |
| dc.subject | Fractional Laplacian | |
| dc.subject | Finite time extinction | |
| dc.title | Extinction in finite time of solutions to fractional parabolic porous medium equations with strong absorption | |
| dc.type | Article |