BESOV WE11-POSEDNESS FOR HIGH DIMENSIONAL NON-LINEAR WAVE EQUATIONS
| dc.contributor.advisor | Machedon, Matei | |
| dc.contributor.author | Sterbenz, Jacob | |
| dc.contributor.department | Mathematics | |
| dc.contributor.publisher | Digital Repository at the University of Maryland | |
| dc.contributor.publisher | University of Maryland (College Park, Md) | |
| dc.date.accessioned | 2019-09-25T16:49:43Z | |
| dc.date.available | 2019-09-25T16:49:43Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | Following work of Tataru, [13] and [11], we solve the division problem for wave equations with generic quadratic non-linearities in high dimensions. Specifically, we show that non-linear wave equations which can be written as systems involving equations of the form Φ = Φ∇Φ and Φ = |∇Φ|^2 are well-posed with scattering in (6+1) and higher dimensions if the Cauchy data are small in the scale invariant ℓ^1 Besov space B^sc,1. | en_US |
| dc.identifier | https://doi.org/10.13016/ky8p-tfuz | |
| dc.identifier.uri | http://hdl.handle.net/1903/24912 | |
| dc.language.iso | en_US | en_US |
| dc.title | BESOV WE11-POSEDNESS FOR HIGH DIMENSIONAL NON-LINEAR WAVE EQUATIONS | en_US |
| dc.type | Dissertation | en_US |