Unique continuation principle for high order equations of Korteweg-de Vries type
In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy. It is proved that if the difference w of two solutions of an equation of this form has certain exponential decay for x >0 at two different tim...
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/246/abstr.html |
| Summary: | In this article we consider the problem of unique continuation
for high-order equations of Korteweg-de Vries type
which include the kdV hierarchy. It is proved that if the difference
w of two solutions of an equation of this form has certain
exponential decay for x >0 at two different times,
then w is identically zero. |
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| ISSN: | 1072-6691 |