Regularity bounds on Zakharov system evolutions
Spatial regularity properties of certain global-in-time solutions of the Zakharov system are established. In particular, the evolving solution $u(t)$ is shown to satisfy an estimate $|u(t)|_{H^s} leq C |t|^{(s-1)+}$, where $H^s$ is the standard spatial Sobolev norm. The proof is an adaptation of ear...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/75/abstr.html |