Zakharov system on R^3: Difference between revisions
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* Zakharov | The theory for the [[Zakharov system]] on R^3 is as follows. | ||
* | |||
** For (s0,s1) = (1,0) this was proven in [BoCo1996]. | * The Zakharov system does not have a true scale invariance, but the critical regularity is (s0,s1) = (0,-1/2). | ||
* GWP for small smooth data is in [OzTs1994]. | * Local [[well-posedness]] for (1/2,0) ([[GiTsVl1997]]) | ||
** For (s0,s1) = (1,0) this was proven in [[BoCo1996]]. | |||
* GWP for small smooth data is in [[OzTs1994]]. | |||
[[Category:Equations]] | [[Category:Equations]] | ||
Latest revision as of 04:54, 4 August 2006
The theory for the Zakharov system on R^3 is as follows.
- The Zakharov system does not have a true scale invariance, but the critical regularity is (s0,s1) = (0,-1/2).
- Local well-posedness for (1/2,0) (GiTsVl1997)
- For (s0,s1) = (1,0) this was proven in BoCo1996.
- GWP for small smooth data is in OzTs1994.
