On the unique continuation property of solutions of the three-dimensional Zakharov-Kuznetsov equation

الأصل · EN

We prove that if the difference of two sufficiently smooth solutions of the three-dimensional Zakharov-Kuznetsov equation ∂ₜu+∂ₓ u+u∂ₓu=0, (x,y,z)³, t∈[0,1], decays as e⁻ᵃ⁽ˣ²⁺ʸ²⁺ᶻ²⁾³/⁴ at two different times, for some a>0 large enough, then both solutions coincide.