Himonas, A. Alexandrou; Petronilho, Gerson A \(G^{\delta,1}\) almost conservation law for mCH and the evolution of its radius of spatial analyticity. (English) Zbl 1467.35284 Discrete Contin. Dyn. Syst. 41, No. 5, 2031-2050 (2021). MSC: 35Q53 35A01 35A02 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{G. Petronilho}, Discrete Contin. Dyn. Syst. 41, No. 5, 2031--2050 (2021; Zbl 1467.35284) Full Text: DOI
Himonas, A. Alexandrou; Petronilho, Gerson Evolution of the radius of spatial analyticity for the periodic BBM equation. (English) Zbl 1434.35161 Proc. Am. Math. Soc. 148, No. 7, 2953-2967 (2020). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{G. Petronilho}, Proc. Am. Math. Soc. 148, No. 7, 2953--2967 (2020; Zbl 1434.35161) Full Text: DOI
Petronilho, Gerson; da Silva, Priscila Leal On the radius of spatial analyticity for the modified Kawahara equation on the line. (English) Zbl 1427.35220 Math. Nachr. 292, No. 9, 2032-2047 (2019). MSC: 35Q40 81V10 35Q53 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{G. Petronilho} and \textit{P. L. da Silva}, Math. Nachr. 292, No. 9, 2032--2047 (2019; Zbl 1427.35220) Full Text: DOI
Himonas, A. Alexandrou; Petronilho, Gerson Radius of analyticity for the Camassa-Holm equation on the line. (English) Zbl 1391.35340 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 174, 1-16 (2018). MSC: 35Q53 37K10 35C07 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{G. Petronilho}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 174, 1--16 (2018; Zbl 1391.35340) Full Text: DOI
Barostichi, Rafael F.; Himonas, A. Alexandrou; Petronilho, Gerson Global analyticity for a generalized Camassa-Holm equation and decay of the radius of spatial analyticity. (English) Zbl 1447.35288 J. Differ. Equations 263, No. 1, 732-764 (2017). MSC: 35Q53 37K10 35C07 PDFBibTeX XMLCite \textit{R. F. Barostichi} et al., J. Differ. Equations 263, No. 1, 732--764 (2017; Zbl 1447.35288) Full Text: DOI
Gorsky, J.; Himonas, A. Alexandrou; Holliman, C.; Petronilho, G. The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces. (English) Zbl 1309.35108 J. Math. Anal. Appl. 405, No. 2, 349-361 (2013). MSC: 35Q53 35B65 PDFBibTeX XMLCite \textit{J. Gorsky} et al., J. Math. Anal. Appl. 405, No. 2, 349--361 (2013; Zbl 1309.35108) Full Text: DOI
Castellanos, Jairo E.; Cordaro, Paulo D.; Petronilho, Gerson Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems. (English) Zbl 1308.35007 J. Anal. Math. 119, 333-364 (2013). MSC: 35A20 35H10 35G20 PDFBibTeX XMLCite \textit{J. E. Castellanos} et al., J. Anal. Math. 119, 333--364 (2013; Zbl 1308.35007) Full Text: DOI
Himonas, A. Alexandrou; Petronilho, Gerson Analytic well-posedness of periodic gKdV. (English) Zbl 1255.35192 J. Differ. Equations 253, No. 11, 3101-3112 (2012). MSC: 35Q53 35B65 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{G. Petronilho}, J. Differ. Equations 253, No. 11, 3101--3112 (2012; Zbl 1255.35192) Full Text: DOI