On the unique continuation property for a nonlinear dispersive system
We solve the following problem: If $(u,\,v)=(u(x,\,t),\,v(x,\,t))$ is a solution of the Dispersive Coupled System with $t_{1}<t_{2}$ which are sufficiently smooth and such that: $\operatorname{supp}u(\,.\,,\,t_{j})\subset (a,\,b)\,$ and $\,\operatorname{supp}v(\,.\,,\, t_{j})\subset (a,\,b),\,-\,...
| Hlavní autoři: | , |
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| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
University of Szeged
2005-06-01
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| Edice: | Electronic Journal of Qualitative Theory of Differential Equations |
| On-line přístup: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=222 |
| Shrnutí: | We solve the following problem: If $(u,\,v)=(u(x,\,t),\,v(x,\,t))$ is a solution of the Dispersive Coupled System with $t_{1}<t_{2}$ which are sufficiently smooth and such that: $\operatorname{supp}u(\,.\,,\,t_{j})\subset (a,\,b)\,$ and $\,\operatorname{supp}v(\,.\,,\, t_{j})\subset (a,\,b),\,-\,\infty<a<b<\infty ,\,$ $j=1,\,2.\,$
Then $u\equiv 0$ and $v\equiv 0.$ |
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| ISSN: | 1417-3875 |