Unique Continuation Property for the Kadomtsev-petviashvili (kp-ii) Equation
نویسنده
چکیده
We generalize a method introduced by Bourgain in [2] 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 (ut + uxxx + uux)x + uyy = 0, (x, y) ∈ R, t ∈ R, is supported compactly in a nontrivial time interval then it vanishes identically.
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تاریخ انتشار 2005