Unique continuation property for the Kadomtsev-Petviashvili (KP-II) equation
We generalize a method introduced by Bourgain in cite{Borg} based on complex analysis to address two spatial dimensional models and prove that if a sufficiently smooth solution to the initial value problem associated with the Kadomtsev-Petviashvili (KP-II) equation $$ (u_t+u_{xxx}+uu_{x})_{x} +u_{y...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/59/abstr.html |