Unique continuation property for the Kadomtsev-Petviashvili (KP-II) equation
Date
2005-06-10
Authors
Panthee, Mahendra
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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) ∈ ℝ2, t ∈ ℝ,
is supported compactly in a nontrivial time interval then it vanishes identically.
Description
Keywords
Dispersive equations, KP equation, Unique continuation property, Smooth solution, Compact support
Citation
Panthee, M. (2005). Unique continuation property for the Kadomtsev-Petviashvili (KP-II) equation. <i>Electronic Journal of Differential Equations, 2005</i>(59), pp. 1-12.
Rights
Attribution 4.0 International