Remy, Pascal Summability of the formal power series solutions of a certain class of inhomogeneous nonlinear partial differential equations with a single level. (English) Zbl 07471739 J. Differ. Equations 313, 450-502 (2022). Reviewer: Alberto Lastra Sedano (Burgos) MSC: 35C10 35C20 40B05 PDF BibTeX XML Cite \textit{P. Remy}, J. Differ. Equations 313, 450--502 (2022; Zbl 07471739) Full Text: DOI OpenURL
Remy, Pascal Gevrey regularity of the solutions of the inhomogeneous partial differential equations with a polynomial semilinearity. (English) Zbl 1472.35090 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 145, 22 p. (2021). MSC: 35C10 35G25 PDF BibTeX XML Cite \textit{P. Remy}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 145, 22 p. (2021; Zbl 1472.35090) Full Text: DOI OpenURL
Remy, Pascal On the summability of the solutions of the inhomogeneous heat equation with a power-law nonlinearity and variable coefficients. (English) Zbl 1458.35121 J. Math. Anal. Appl. 494, No. 2, Article ID 124656, 12 p. (2021). MSC: 35C10 35K58 35K15 PDF BibTeX XML Cite \textit{P. Remy}, J. Math. Anal. Appl. 494, No. 2, Article ID 124656, 12 p. (2021; Zbl 1458.35121) Full Text: DOI OpenURL
Ichinobe, Kunio On \(k\)-summability of formal solutions for a class of partial differential operators with time dependent coefficients. (English) Zbl 1302.35099 J. Differ. Equations 257, No. 8, 3048-3070 (2014). MSC: 35C10 35G10 PDF BibTeX XML Cite \textit{K. Ichinobe}, J. Differ. Equations 257, No. 8, 3048--3070 (2014; Zbl 1302.35099) Full Text: DOI OpenURL
Razafindralandy, Dina; Hamdouni, Aziz Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations. (English) Zbl 1286.76123 J. Comput. Phys. 236, 56-73 (2013). MSC: 76M45 40G10 PDF BibTeX XML Cite \textit{D. Razafindralandy} and \textit{A. Hamdouni}, J. Comput. Phys. 236, 56--73 (2013; Zbl 1286.76123) Full Text: DOI HAL OpenURL
Malek, Stéphane On the summability of formal solutions of linear partial differential equations. (English) Zbl 1085.35043 J. Dyn. Control Syst. 11, No. 3, 389-403 (2005). Reviewer: Igor Andrianov (Köln) MSC: 35C10 35C20 40G10 PDF BibTeX XML Cite \textit{S. Malek}, J. Dyn. Control Syst. 11, No. 3, 389--403 (2005; Zbl 1085.35043) Full Text: DOI OpenURL
Ichinobe, Kunio Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation. (English) Zbl 1063.35049 Publ. Res. Inst. Math. Sci. 39, No. 4, 657-693 (2003). Reviewer: Zhang Wanguo (Shanghai) MSC: 35C10 35C15 35E15 35C20 35A10 PDF BibTeX XML Cite \textit{K. Ichinobe}, Publ. Res. Inst. Math. Sci. 39, No. 4, 657--693 (2003; Zbl 1063.35049) Full Text: DOI OpenURL
Shirai, Akira A Maillet type theorem for first order singular nonlinear partial differential equations. (English) Zbl 1048.35012 Publ. Res. Inst. Math. Sci. 39, No. 2, 275-296 (2003). MSC: 35F20 35A20 35C10 PDF BibTeX XML Cite \textit{A. Shirai}, Publ. Res. Inst. Math. Sci. 39, No. 2, 275--296 (2003; Zbl 1048.35012) Full Text: DOI OpenURL
Chen, Hua; Luo, Zhuangchu; Tahara, Hidetoshi Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity. (English) Zbl 0993.35003 Ann. Inst. Fourier 51, No. 6, 1599-1620 (2001). Reviewer: Otto Liess (Bologna) MSC: 35A07 35C10 35A20 35A10 PDF BibTeX XML Cite \textit{H. Chen} et al., Ann. Inst. Fourier 51, No. 6, 1599--1620 (2001; Zbl 0993.35003) Full Text: DOI Numdam EuDML Link OpenURL