Global well-posedness for the radial defocusing cubic wave equation on R3 and for rough data
| dc.contributor.author | Roy, Tristan | |
| dc.date.accessioned | 2021-08-18T18:57:50Z | |
| dc.date.available | 2021-08-18T18:57:50Z | |
| dc.date.issued | 2007-11-30 | |
| dc.description.abstract | We prove global well-posedness for the radial defocusing cubic wave equation ∂ttu - Δu = -u3 u(0, x) = u0(x) ∂tu(0, x) = u1(x) with data (u0, u1) ∈ Hs x Hs-1, 1 > s > 7/10. The proof relies upon a Morawetz-Strauss-type inequality that allows us to control the growth of an almost conserved quantity. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Roy, T. (2007). Global well-posedness for the radial defocusing cubic wave equation on R3 and for rough data. <i>Electronic Journal of Differential Equations, 2007</i>(166), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14380 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Nonlinear Schrödinger equation | |
| dc.subject | Well-posedness | |
| dc.title | Global well-posedness for the radial defocusing cubic wave equation on R3 and for rough data | |
| dc.type | Article |