Balser, Werner Formal power series solutions of the heat equation in one spatial variable. (English) Zbl 1356.35118 Bertrand, Daniel (ed.) et al., Differential equations and quantum groups. Andrey A. Bolibrukh memorial volume. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-020-5/pbk). IRMA Lectures in Mathematics and Theoretical Physics 9, 49-58 (2007). MSC: 35K05 35C10 PDFBibTeX XMLCite \textit{W. Balser}, IRMA Lect. Math. Theor. Phys. 9, 49--58 (2007; Zbl 1356.35118) Full Text: DOI
Miyake, Masatake; Ichinobe, Kunio Hierarchy of partial differential equations and fundamental solutions associated with summable formal solutions of a partial differential equation of non Kowalevski type. (English) Zbl 1145.35355 Chen, Hua (ed.) et al., Differential equations and asymptotic theory in mathematical physics. Lectures from the conference, Wuhan University, Hubei, China, October 20–29, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-055-6/hbk). Series in Analysis 2, 330-342 (2004). Reviewer: Changgui Zhang (Villeneuve d’Ascq) MSC: 35C10 35F25 35A08 35A10 PDFBibTeX XMLCite \textit{M. Miyake} and \textit{K. Ichinobe}, Ser. Anal. 2, 330--342 (2004; Zbl 1145.35355)
Balser, Werner Summability of formal power-series solutions of partial differential equations with constant coefficients. (English. Russian original) Zbl 1128.35030 J. Math. Sci., New York 124, No. 4, 5085-5097 (2004); translation from Sovrem. Mat., Fundam. Napravl. 1, 5-17 (2003). MSC: 35C10 35E15 35C20 PDFBibTeX XMLCite \textit{W. Balser}, J. Math. Sci., New York 124, No. 4, 5085--5097 (2003; Zbl 1128.35030); translation from Sovrem. Mat., Fundam. Napravl. 1, 5--17 (2003) Full Text: DOI
Balser, Werner; Miyake, Masatake Summability of formal solutions of certain partial differential equations. (English) Zbl 0987.35032 Acta Sci. Math. 65, No. 3-4, 543-551 (1999). MSC: 35C10 35A20 35A22 PDFBibTeX XMLCite \textit{W. Balser} and \textit{M. Miyake}, Acta Sci. Math. 65, No. 3--4, 543--551 (1999; Zbl 0987.35032)
Balser, Werner Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke. (English) Zbl 0960.35045 Pac. J. Math. 188, No. 1, 53-63 (1999). Reviewer: D.T.Haimo (San Diego) MSC: 35K05 35C10 PDFBibTeX XMLCite \textit{W. Balser}, Pac. J. Math. 188, No. 1, 53--63 (1999; Zbl 0960.35045) Full Text: DOI