most citedOn the algebraic lower bound for the radius of spatial analyticity for the Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations

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2 papers

math.AP2026★ 1 cited

On the algebraic lower bound for the radius of spatial analyticity for the Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations

Mikaela Baldasso, Mahendra Panthee

We consider the initial value problem (IVP) for the 2D generalized Zakharov-Kuznetsov (ZK) equation \begin{equation} \begin{cases} \partial_{t}u+\partial_{x}Δu+μ\partial_{x}u^{k+…

math.AP2025

Nonlinear smoothing implies improved lower bounds on the radius of spatial analyticity for nonlinear dispersive equations

Mikaela Baldasso, Simão Correia

We provide a roadmap to establish improved lower bounds on the decay rate of the uniform radius of analyticity for a given nonlinear dispersive equation, reducing the probl…