Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group
| dc.contributor.author | Alsaedi, Ahmed | |
| dc.contributor.author | Ahmad, Bashir | |
| dc.contributor.author | Kirane, Mokhtar | |
| dc.contributor.author | Nabti, Abderrazak | |
| dc.date.accessioned | 2021-08-27T19:48:29Z | |
| dc.date.available | 2021-08-27T19:48:29Z | |
| dc.date.issued | 2020-01-07 | |
| dc.description.abstract | We consider the higher order diffusion Schrödinger equation with a time nonlocal nonlinearity i∂tu - (-Δℍ)mu = λ/Γ(α) ∫t0 (t - s)α-1 |u(s)|pds, posed in (η, t) ∈ ℍ x (0, +∞), supplemented with an initial data u(η, 0) = ƒ(η), where m > 1, p > 1, < α < 1, and Δℍ is the Laplacian operator on the (2N + 1)-dimensional Heisenberg group ℍ. Then, we prove a blow up result for its solutions. Furthermore, we give an upper bound estimate of the life span of blow up solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Alsaedi, A., Ahmad, B., Kirane, M., & Nabti, A. (2020). Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group. <i>Electronic Journal of Differential Equations, 2020</i>(02), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14482 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Schrödinger equation | |
| dc.subject | Heisenberg group | |
| dc.subject | Life span | |
| dc.subject | Riemann-Liouville fractional integrals and derivatives | |
| dc.title | Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group | |
| dc.type | Article |