Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one
| dc.contributor.author | Englander, Janos (  0000-0003-4982-0029 ) | |
| dc.contributor.author | Simon, Peter L. ( 0000-0002-2183-1853 ) | |
| dc.date.accessioned | 2021-07-14T17:11:58Z | |
| dc.date.available | 2021-07-14T17:11:58Z | |
| dc.date.issued | 2006-01-24 | |
| dc.identifier.citation | Engländer, J., & Simon, P. L. (2006). Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one. Electronic Journal of Differential Equations, 2006(09), pp. 1-6. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13882 | |
| dc.description.abstract | In this article, we consider a semilinear elliptic equations of the form ∆u + ƒ(u) = 0, where ƒ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in (0, 1). The significance of this result in probability theory is also discussed. | |
| dc.format | Text | |
| dc.format.extent | 6 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | KPP-equation | en_US |
| dc.subject | Semilinear elliptic equations | en_US |
| dc.subject | Positive bounded solutions | en_US |
| dc.subject | Branching Brownian-motion | en_US |
| dc.title | Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
