Unique continuation for the fifth-order KP equation on the torus times real line is established via localized feedback, enabling exponential stabilization and local exact controllability for small-data nonlinear solutions.
Tzvetkov,Transverse stability issues in Hamiltonian PDE, inEuropean Congress of Mathematics, EMS, 2008, pp
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Unique Continuation for Fifth-Order KP Equation and its application to control problems
Unique continuation for the fifth-order KP equation on the torus times real line is established via localized feedback, enabling exponential stabilization and local exact controllability for small-data nonlinear solutions.