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Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip |
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| Authors: | Jerry L. Bona Zoran Gruji? |
| Affiliation: | a Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, USA b Department of Mathematics, University of Virginia, USA c Department of Mathematics, University of Bergen, Norway |
| Abstract: | Lower bounds on the rate of decrease in time of a uniform radius of spatial analyticity for solutions of the derivative Schrödinger equation are derived. The bounds depend algebraically on time. They are valid as long as the initial datum is of order one in L2-norm and satisfies suitable spatial decay requirements on the real axis. |
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