The critical case for a semilinear weakly hyperbolic equation
| dc.contributor.author | Fanelli, Luca | |
| dc.contributor.author | Lucente, Sandra | |
| dc.date.accessioned | 2021-04-26T20:23:32Z | |
| dc.date.available | 2021-04-26T20:23:32Z | |
| dc.date.issued | 2004-08-24 | |
| dc.description.abstract | We prove a global existence result for the Cauchy problem, in the three-dimensional space, associated with the equation u>tt - αλ (t)Δxu = -u|u|p(λ)-1 where αλ(t) ≥ 0 and behaves at (t - t0)λ close to some t0 > 0 with α(t0) = 0, and p(λ) = (3λ + 10) / (3λ + 2) with 3 ≤ p(λ) ≤ 5. This means that we deal with the superconformal, critical nonlinear case. Moreover we assume a small initial energy. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Fanelli, L., & Lucente, S. (2004). The critical case for a semilinear weakly hyperbolic equation. <i>Electronic Journal of Differential Equations, 2004</i>(101), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13455 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Global existence | |
| dc.subject | Semilinear wave equations | |
| dc.title | The critical case for a semilinear weakly hyperbolic equation | |
| dc.type | Article |