Blow-up criteria and instability of standing waves for the inhomogeneous fractional Schrodinger equation
| dc.contributor.author | Feng, Binhua | |
| dc.contributor.author | He, Zhiqian | |
| dc.contributor.author | Liu, Jiayin | |
| dc.date.accessioned | 2021-08-26T14:06:51Z | |
| dc.date.available | 2021-08-26T14:06:51Z | |
| dc.date.issued | 2021-05-07 | |
| dc.description.abstract | In this article, we study the blow-up and instability of standing waves for the inhomogeneous fractional Schrödinger equation i∂tu - (-∆)su + |x|-b|u|pu = 0, where s ∈ (1/2, 1), 0 < b < min{2s, N} and 0 < p < 4s-2b/N-2s. In the L2-critical and L2-supercritical cases, i.e., 4s-2b/N ≤ p < 4s-2b/N-2s, we establish general blow-up criteria for non-radial solutions by using localized viral estimates. Based on these blow-up criteria, we prove the strong instability of standing waves. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Feng, B., He, Z., & Liu, J. (2021). Blow-up criteria and instability of standing waves for the inhomogeneous fractional Schrodinger equation. <i>Electronic Journal of Differential Equations, 2021</i>(39), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14449 | |
| 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 | Inhomogeneous fractional Schrödinger equation | |
| dc.subject | Blow-up criteria | |
| dc.subject | Strong instability | |
| dc.title | Blow-up criteria and instability of standing waves for the inhomogeneous fractional Schrodinger equation | en_US |
| dc.type | Article |