Almost entire solutions of the Burgers equation
| dc.contributor.author | Alikakos, Nicholas | |
| dc.contributor.author | Gazoulis, Dimitrios | |
| dc.date.accessioned | 2022-01-07T21:48:43Z | |
| dc.date.available | 2022-01-07T21:48:43Z | |
| dc.date.issued | 2018-02-20 | |
| dc.description.abstract | We consider Burgers equation on the whole x-t plane. We require the solution to be classical everywhere, except possibly over a closed set S of potential singularities, which is (a) a subset of a countable union of ordered graphs of differentiable functions, (b) has one dimensional Hausdorff measure, H1(S), equal to zero. We establish that under these conditions the solution is identically equal to a constant. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 6 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Alikakos, N. D., & Gazoulis, D. (2018). Almost entire solutions of the Burgers equation. <i>Electronic Journal of Differential Equations, 2018</i>(53), pp. 1-6. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15109 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Burgers equation | |
| dc.subject | Entropy solution | |
| dc.subject | Rigidity | |
| dc.title | Almost entire solutions of the Burgers equation | |
| dc.type | Article |