Gerson Petronilho

Gevrey regularity of the periodic gKdV equation

Heather Hannah, A. Alexandrou Himonas, Gerson Petronilho · Journal of Differential Equations · 2011 · 49 citations

Periodic Gkdv Equation, Elliptic Equation, Nonlinear Hyperbolic Problem +1

Analytic well-posedness of periodic gKdV

A. Alexandrou Himonas, Gerson Petronilho · Journal of Differential Equations · 2012 · 46 citations

Nonlinear Hyperbolic Problem, Periodic Gkdv, Integrable System

Global Solvability for a Class of Complex Vector Fields on the Two-Torus

Adalberto P. Bergamasco, Paulo D. Cordaro, Gerson Petronilho · Communications in Partial Differential Equations · 2004 · 43 citations · Full text

Unit Circle, Riemann-hilbert Problem, Quasiconformal Mapping +9

Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems

Rafael F. Barostichi, A. Alexandrou Himonas, Gerson Petronilho · Journal of Functional Analysis · 2015 · 43 citations

Autonomous Ovsyannikov Theorem, Discrete Dynamical System, Nonlocal Evolution Equations +4

The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces

Jennifer Gorsky, A. Alexandrou Himonas, Curtis Holliman et al. · Journal of Mathematical Analysis and Applications · 2013 · 34 citations

Elliptic Equation, Analytic Gevrey Spaces, Cauchy Problem +4