Mahendra Panthee
Abstract:
We generalize a method introduced by Bourgain in \cite{Borg} 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
is supported compactly in a nontrivial time interval then
it vanishes identically.
Submitted April 9, 2005. Published June 10, 2005.
Math Subject Classifications: 35Q35, 35Q53
Key Words: Dispersive equations; KP equation; unique continuation property;
smooth solution; compact support.
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Mahendra Panthee Central Department of Mathematics Tribhuvan University, Kirtipur, Kathmandu, Nepal and Department of Mathematics CMAGDS, IST, 1049-001 Av. Rovisco Pais, Lisbon, Portugal email: mpanthee@math.ist.utl.pt |
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