| dc.contributor |
Machedon, Matei |
|
| dc.contributor |
Digital Repository at the University of Maryland |
|
| dc.contributor |
University of Maryland (College Park, Md) |
|
| dc.contributor |
Mathematics |
|
| dc.creator |
Sterbenz, Jacob |
|
| dc.date |
2019-09-25T16:49:43Z |
|
| dc.date |
2019-09-25T16:49:43Z |
|
| dc.date |
2003 |
|
| dc.date.accessioned |
2022-05-20T08:39:21Z |
|
| dc.date.available |
2022-05-20T08:39:21Z |
|
| dc.identifier |
https://doi.org/10.13016/ky8p-tfuz |
|
| dc.identifier |
http://hdl.handle.net/1903/24912 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/117705 |
|
| dc.description |
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. |
|
| dc.format |
application/pdf |
|
| dc.language |
en_US |
|
| dc.title |
BESOV WE11-POSEDNESS FOR HIGH DIMENSIONAL NON-LINEAR WAVE EQUATIONS |
|
| dc.type |
Dissertation |
|