Michalik, Sławomir Summable solutions of the Goursat problem for some partial differential equations with constant coefficients. (English) Zbl 1476.35086 J. Differ. Equations 304, 435-466 (2021). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 35C10 35C15 35E15 40G10 PDFBibTeX XMLCite \textit{S. Michalik}, J. Differ. Equations 304, 435--466 (2021; Zbl 1476.35086) Full Text: DOI arXiv
Michalik, Sławomir Analytic and summable solutions of inhomogeneous moment partial differential equations. (English) Zbl 1400.35067 Funkc. Ekvacioj, Ser. Int. 60, No. 3, 325-351 (2017). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 35C10 35C15 35E15 40G10 PDFBibTeX XMLCite \textit{S. Michalik}, Funkc. Ekvacioj, Ser. Int. 60, No. 3, 325--351 (2017; Zbl 1400.35067) Full Text: DOI arXiv
Michalik, Sławomir Summable solutions of some partial differential equations and generalised integral means. (English) Zbl 1347.35071 J. Math. Anal. Appl. 444, No. 2, 1242-1259 (2016). MSC: 35C10 35G10 PDFBibTeX XMLCite \textit{S. Michalik}, J. Math. Anal. Appl. 444, No. 2, 1242--1259 (2016; Zbl 1347.35071) Full Text: DOI arXiv
Michalik, Sławomir Summability of formal solutions of linear partial differential equations with divergent initial data. (English) Zbl 1306.35007 J. Math. Anal. Appl. 406, No. 1, 243-260 (2013). MSC: 35C10 35G10 PDFBibTeX XMLCite \textit{S. Michalik}, J. Math. Anal. Appl. 406, No. 1, 243--260 (2013; Zbl 1306.35007) Full Text: DOI arXiv
Michalik, Sławomir Corrigendum to: “On the multisummability of divergent solutions of linear partial differential equations with constant coefficients”. (English) Zbl 1280.35025 J. Differ. Equations 255, No. 8, 2400-2401 (2013). MSC: 35C10 35E15 PDFBibTeX XMLCite \textit{S. Michalik}, J. Differ. Equations 255, No. 8, 2400--2401 (2013; Zbl 1280.35025) Full Text: DOI
Michalik, Sławomir Analytic solutions of moment partial differential equations with constant coefficients. (English) Zbl 1282.35129 Funkc. Ekvacioj, Ser. Int. 56, No. 1, 19-50 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 35C10 35C15 35E15 PDFBibTeX XMLCite \textit{S. Michalik}, Funkc. Ekvacioj, Ser. Int. 56, No. 1, 19--50 (2013; Zbl 1282.35129) Full Text: DOI
Michalik, S. Multisummability of formal solutions of inhomogeneous linear partial differential equations with constant coefficients. (English) Zbl 1250.35063 J. Dyn. Control Syst. 18, No. 1, 103-133 (2012). Reviewer: Igor Andrianov (Köln) MSC: 35C10 35C15 35E15 35R11 PDFBibTeX XMLCite \textit{S. Michalik}, J. Dyn. Control Syst. 18, No. 1, 103--133 (2012; Zbl 1250.35063) Full Text: DOI
Michalik, Sławomir On Borel summable solutions of the multidimensional heat equation. (English) Zbl 1255.35077 Ann. Pol. Math. 105, No. 2, 167-177 (2012). MSC: 35C10 35K05 35K15 PDFBibTeX XMLCite \textit{S. Michalik}, Ann. Pol. Math. 105, No. 2, 167--177 (2012; Zbl 1255.35077) Full Text: DOI
Michalik, S. Summability and fractional linear partial differential equations. (English) Zbl 1203.35074 J. Dyn. Control Syst. 16, No. 4, 557-584 (2010). MSC: 35E15 35C10 35C15 26A33 PDFBibTeX XMLCite \textit{S. Michalik}, J. Dyn. Control Syst. 16, No. 4, 557--584 (2010; Zbl 1203.35074) Full Text: DOI
Michalik, Sławomir On the multisummability of divergent solutions of linear partial differential equations with constant coefficients. (English) Zbl 1195.35095 J. Differ. Equations 249, No. 3, 551-570 (2010); corrigendum ibid. 255, No. 8, 2400-2401 (2013). Reviewer: Igor Andrianov (Köln) MSC: 35C10 35E15 PDFBibTeX XMLCite \textit{S. Michalik}, J. Differ. Equations 249, No. 3, 551--570 (2010; Zbl 1195.35095) Full Text: DOI
Michalik, Sławomir Laplace ultradistributions supported by a cone. (English) Zbl 1202.46046 Kamiński, Andrzej (ed.) et al., Linear and non-linear theory of generalized functions and its applications. Proceedings of the Banach Center conference, Bȩdlewo, Poland, September 2–8, 2007. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-07-2/pbk). Banach Center Publications 88, 229-241 (2010). MSC: 46F05 46F12 44A10 PDFBibTeX XMLCite \textit{S. Michalik}, Banach Cent. Publ. 88, 229--241 (2010; Zbl 1202.46046) Full Text: DOI
Michalik, Sławomir Summability of formal solutions to the \(n\)-dimensional inhomogeneous heat equation. (English) Zbl 1144.35015 J. Math. Anal. Appl. 347, No. 1, 323-332 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35C10 PDFBibTeX XMLCite \textit{S. Michalik}, J. Math. Anal. Appl. 347, No. 1, 323--332 (2008; Zbl 1144.35015) Full Text: DOI
Michalik, Sławomir Summability of divergent solutions of the \(n\)-dimensional heat equation. (English) Zbl 1105.35025 J. Differ. Equations 229, No. 1, 353-366 (2006). Reviewer: Igor Andrianov (Köln) MSC: 35C10 35K05 35K15 PDFBibTeX XMLCite \textit{S. Michalik}, J. Differ. Equations 229, No. 1, 353--366 (2006; Zbl 1105.35025) Full Text: DOI
Michalik, Sławomir The Cauchy kernel for cones. (English) Zbl 1053.32001 Stud. Math. 163, No. 1, 21-39 (2004). Reviewer: Thanh Van Nguyen (Toulouse) MSC: 32A26 32D05 PDFBibTeX XMLCite \textit{S. Michalik}, Stud. Math. 163, No. 1, 21--39 (2004; Zbl 1053.32001) Full Text: DOI Link
Michalik, S. Laplace distributions and hyperfunctions on simplicial cones. (English) Zbl 1049.46024 Integral Transforms Spec. Funct. 14, No. 4, 307-320 (2003). Reviewer: Andreas Schmidt (Frankfurt am Main) MSC: 46F20 46F15 PDFBibTeX XMLCite \textit{S. Michalik}, Integral Transforms Spec. Funct. 14, No. 4, 307--320 (2003; Zbl 1049.46024) Full Text: DOI
Michalik, Sławomir The kernel theorem for Laplace ultradistributions. (English) Zbl 0993.46017 Ann. Pol. Math. 77, No. 3, 209-217 (2001). Reviewer: P.K.Banerji (Jodhpur) MSC: 46F05 46F12 46A22 PDFBibTeX XMLCite \textit{S. Michalik}, Ann. Pol. Math. 77, No. 3, 209--217 (2001; Zbl 0993.46017) Full Text: DOI