Unique continuation property for the Kadomtsev-Petviashvili (KP-II) equation

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dc.contributor.authorPanthee, Mahendra
dc.date.accessioned2021-05-24T20:26:59Z
dc.date.available2021-05-24T20:26:59Z
dc.date.issued2005-06-10
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPanthee, M. (2005). Unique continuation property for the Kadomtsev-Petviashvili (KP-II) equation. <i>Electronic Journal of Differential Equations, 2005</i>(59), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13642
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectDispersive equations
dc.subjectKP equation
dc.subjectUnique continuation property
dc.subjectSmooth solution
dc.subjectCompact support
dc.titleUnique continuation property for the Kadomtsev-Petviashvili (KP-II) equation
dc.typeArticle

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