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.

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Attribution 4.0 International

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