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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 proble…
math.AP2024
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+1}…
math.AP2023
Improved algebraic lower bound for the radius of spatial analyticity for the generalized KdV equation
Mikaela Baldasso, Mahendra Panthee
We consider the initial value problema (IVP) for the generalized Korteweg-de Vries (gKdV) equation \begin{equation} \begin{cases} \partial_tu+\partial_x^3u+μu^k\partial_xu=0, \,\;\…