We consider the problem of low-regularity global well-posedness for the nonlinear wave equation. In particular, we construct special analytic solutions with the optimal regularity predicted by Sogge and Lindblad which exist up to arbitrarily long times.
|Number of pages||14|
|Journal||Journal of Differential Equations|
|Publication status||Submitted - 2020|
- Wave equations
- low regularity
- Gevrey spaces