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On the unique continuation property for Kadomtsev–Petviashvili‐I and Benjamin–Ono–Zakharov–Kuznetsov equations
Author(s) -
Esfahani Amin,
Pastor Ademir
Publication year - 2011
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdr048
Subject(s) - continuation , mathematics , property (philosophy) , kadomtsev–petviashvili equation , pure mathematics , variable (mathematics) , mathematical analysis , partial differential equation , computer science , epistemology , philosophy , characteristic equation , programming language
We prove unique continuation results for the Kadomtsev–Petviashvili‐I and Benjamin–Ono–Zakharov–Kuznetsov equations. Our method of proof goes back to the complex variable techniques introduced by Bourgain. The approach is quite similar to that used by Panthee for the Kadomtsev–Petviashvili‐II and Zakharov–Kuznetsov equations.