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Global well-posedness for the modified dispersion-generalized Benjamin-Ono equations
Mikaela Baldasso, Simão Correia, Thyago S. R. Santos
In this short note, we prove the global well-posedness of the modified dispersion-generalized Benjamin-Ono equation with dispersion , $$\partial_t u + D^α\partial_x u + u^2\…
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…
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}…
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, \,\;\…