Carleman estimates and unique continuation property for the Kadomtsev–Petviashvili equations
Abstract
We study the unique continuation property for the generalized Kadomtsev-Petviashvili equations and its regularized version. We use Carleman estimates to prove that if the solution of the Kadomtsev-Petviashvili equations vanishes in an open subset, then this solution is identically equal to zero in the horizontal component of the open subset.
Domains
Mathematics [math]
Origin : Files produced by the author(s)
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