Remy, Pascal Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients. (English) Zbl 1523.35120 SN Partial Differ. Equ. Appl. 4, No. 3, Paper No. 19, 18 p. (2023). Reviewer: Alberto Lastra (Burgos) MSC: 35C10 35C20 35G25 PDFBibTeX XMLCite \textit{P. Remy}, SN Partial Differ. Equ. Appl. 4, No. 3, Paper No. 19, 18 p. (2023; Zbl 1523.35120) Full Text: DOI
Ordóñez Cabrera, M.; Rosalsky, A.; Ünver, M.; Volodin, A. A new version of uniform integrability via power series summability methods. (English) Zbl 1489.60040 Theory Probab. Appl. 67, No. 1, 89-104 (2022) and Teor. Veroyatn. Primen. 67, No. 1, 115-133 (2022). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G42 40G10 28A20 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Theory Probab. Appl. 67, No. 1, 89--104 (2022; Zbl 1489.60040) Full Text: DOI
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 1487.35183 J. Differ. Equations 313, 450-502 (2022). Reviewer: Alberto Lastra Sedano (Burgos) MSC: 35C10 35C20 40B05 PDFBibTeX XMLCite \textit{P. Remy}, J. Differ. Equations 313, 450--502 (2022; Zbl 1487.35183) Full Text: DOI
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense. (English) Zbl 1479.60071 Test 30, No. 1, 83-102 (2021); correction ibid. 30, No. 4, 1076-1077 (2021). MSC: 60F25 40A35 41A36 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Test 30, No. 1, 83--102 (2021; Zbl 1479.60071) Full Text: DOI
Remy, Pascal Gevrey index theorem for the inhomogeneous \(n\)-dimensional heat equation with a power-law nonlinearity and variable coefficients. (English) Zbl 1488.35162 Acta Sci. Math. 87, No. 1-2, 163-181 (2021). Reviewer: Rodica Luca (Iaşi) MSC: 35C10 35K05 35K55 40A30 40B05 PDFBibTeX XMLCite \textit{P. Remy}, Acta Sci. Math. 87, No. 1--2, 163--181 (2021; Zbl 1488.35162) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Remy}, J. Math. Anal. Appl. 494, No. 2, Article ID 124656, 12 p. (2021; Zbl 1458.35121) Full Text: DOI
Remy, Pascal Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems. (English) Zbl 1437.35150 J. Dyn. Control Syst. 26, No. 1, 69-108 (2020). Reviewer: Luigi Rodino (Torino) MSC: 35C10 35C20 PDFBibTeX XMLCite \textit{P. Remy}, J. Dyn. Control Syst. 26, No. 1, 69--108 (2020; Zbl 1437.35150) Full Text: DOI HAL
Giuliano Antonini, R.; Ünver, M.; Volodin, A. On the concept of \(A\)-statistical uniform integrability and the law of large numbers. (English) Zbl 1453.60082 Lobachevskii J. Math. 40, No. 12, 2034-2042 (2019). MSC: 60F25 PDFBibTeX XMLCite \textit{R. Giuliano Antonini} et al., Lobachevskii J. Math. 40, No. 12, 2034--2042 (2019; Zbl 1453.60082) Full Text: DOI
Jiménez-Garrido, Javier; Kamimoto, Shingo; Lastra, Alberto; Sanz, Javier Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders. (English) Zbl 1437.46031 J. Math. Anal. Appl. 472, No. 1, 627-686 (2019). Reviewer: José Bonet (Valencia) MSC: 46E10 44A10 40A30 30B10 PDFBibTeX XMLCite \textit{J. Jiménez-Garrido} et al., J. Math. Anal. Appl. 472, No. 1, 627--686 (2019; Zbl 1437.46031) Full Text: DOI arXiv
Sanz, Javier Asymptotic analysis and summability of formal power series. (English) Zbl 1406.30002 Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 199-262 (2017). MSC: 30B10 40D05 34M25 35C10 35C20 34K25 PDFBibTeX XMLCite \textit{J. Sanz}, in: Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6--19, 2015. Cham: Birkhäuser/Springer. 199--262 (2017; Zbl 1406.30002) Full Text: DOI
Remy, Pascal Gevrey order and summability of formal series solutions of certain classes of inhomogeneous linear integro-differential equations with variable coefficients. (English) Zbl 1372.35070 J. Dyn. Control Syst. 23, No. 4, 853-878 (2017). MSC: 35C10 35C20 40B05 PDFBibTeX XMLCite \textit{P. Remy}, J. Dyn. Control Syst. 23, No. 4, 853--878 (2017; Zbl 1372.35070) Full Text: DOI HAL
Michalik, Sławomir; Podhajecka, Bożena The Stokes phenomenon for certain partial differential equations with meromorphic initial data. (English) Zbl 1353.35284 Asymptotic Anal. 99, No. 3-4, 163-182 (2016). MSC: 35Q79 80A20 PDFBibTeX XMLCite \textit{S. Michalik} and \textit{B. Podhajecka}, Asymptotic Anal. 99, No. 3--4, 163--182 (2016; Zbl 1353.35284) Full Text: DOI arXiv
Remy, Pascal Gevrey order and summability of formal series solutions of some classes of inhomogeneous linear partial differential equations with variable coefficients. (English) Zbl 1353.35106 J. Dyn. Control Syst. 22, No. 4, 693-711 (2016). MSC: 35C10 35C20 40B05 35G10 PDFBibTeX XMLCite \textit{P. Remy}, J. Dyn. Control Syst. 22, No. 4, 693--711 (2016; Zbl 1353.35106) Full Text: DOI HAL
Jiménez-Garrido, Javier; Sanz, Javier Strongly regular sequences and proximate orders. (English) Zbl 1358.30001 J. Math. Anal. Appl. 438, No. 2, 920-945 (2016). Reviewer: Praveen Agarwal (Jaipur) MSC: 30B10 PDFBibTeX XMLCite \textit{J. Jiménez-Garrido} and \textit{J. Sanz}, J. Math. Anal. Appl. 438, No. 2, 920--945 (2016; Zbl 1358.30001) Full Text: DOI arXiv
Lastra, Alberto; Malek, Stéphane; Sanz, Javier Summability in general Carleman ultraholomorphic classes. (English) Zbl 1327.30004 J. Math. Anal. Appl. 430, No. 2, 1175-1206 (2015). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 30B10 40G10 30D60 35C10 35C20 PDFBibTeX XMLCite \textit{A. Lastra} et al., J. Math. Anal. Appl. 430, No. 2, 1175--1206 (2015; Zbl 1327.30004) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{K. Ichinobe}, J. Differ. Equations 257, No. 8, 3048--3070 (2014; Zbl 1302.35099) Full Text: DOI
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, 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
Ichinobe, Kunio; Miyake, Masatake Decomposition of solutions of the Cauchy problem of a quasi-homogeneous partial differential equation. (English) Zbl 1258.35053 Publ. Res. Inst. Math. Sci. 48, No. 2, 373-388 (2012). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 35C10 35E15 PDFBibTeX XMLCite \textit{K. Ichinobe} and \textit{M. Miyake}, Publ. Res. Inst. Math. Sci. 48, No. 2, 373--388 (2012; Zbl 1258.35053) Full Text: DOI
Costin, O.; Park, H.; Takei, Y. Borel summability of the heat equation with variable coefficients. (English) Zbl 1241.40005 J. Differ. Equations 252, No. 4, 3076-3092 (2012). Reviewer: Igor Andrianov (Köln) MSC: 40G10 35K05 PDFBibTeX XMLCite \textit{O. Costin} et al., J. Differ. Equations 252, No. 4, 3076--3092 (2012; Zbl 1241.40005) Full Text: DOI
Meurer, Thomas; Krstic, Miroslav Finite-time multi-agent deployment: a nonlinear PDE motion planning approach. (English) Zbl 1228.93013 Automatica 47, No. 11, 2534-2542 (2011). MSC: 93A14 93C10 93C20 PDFBibTeX XMLCite \textit{T. Meurer} and \textit{M. Krstic}, Automatica 47, No. 11, 2534--2542 (2011; Zbl 1228.93013) 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 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
Hibino, Masaki Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. I. (English) Zbl 1147.35016 J. Differ. Equations 227, No. 2, 499-533 (2006). MSC: 35C20 35C10 35C15 35F05 PDFBibTeX XMLCite \textit{M. Hibino}, J. Differ. Equations 227, No. 2, 499--533 (2006; Zbl 1147.35016) Full Text: DOI
Balser, Werner Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. (English) Zbl 1105.35024 Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 4, 593-608 (2005). Reviewer: Robert Kuik (Roden) MSC: 35C10 35B25 PDFBibTeX XMLCite \textit{W. Balser}, Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 4, 593--608 (2005; Zbl 1105.35024) Full Text: DOI Numdam Numdam EuDML
Balser, Werner Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions. (English) Zbl 1144.34349 J. Differ. Equations 209, No. 2, 442-457 (2005). MSC: 34E10 34E15 34M40 35C10 35E15 PDFBibTeX XMLCite \textit{W. Balser}, J. Differ. Equations 209, No. 2, 442--457 (2005; Zbl 1144.34349) Full Text: DOI
Balser, Werner Multisummability of formal power series solutions of partial differential equations with constant coefficients. (English) Zbl 1052.35048 J. Differ. Equations 201, No. 1, 63-74 (2004). Reviewer: Igor Andrianov (Köln) MSC: 35C10 35C20 PDFBibTeX XMLCite \textit{W. Balser}, J. Differ. Equations 201, No. 1, 63--74 (2004; Zbl 1052.35048) Full Text: DOI
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 PDFBibTeX XMLCite \textit{K. Ichinobe}, Publ. Res. Inst. Math. Sci. 39, No. 4, 657--693 (2003; Zbl 1063.35049) Full Text: DOI
Olivé, Carme; Sauzin, David; Seara, Tere M. Resurgence in a Hamilton-Jacobi equation. (English) Zbl 1077.34086 Ann. Inst. Fourier 53, No. 4, 1185-1235 (2003). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M37 34M25 34M30 70H20 PDFBibTeX XMLCite \textit{C. Olivé} et al., Ann. Inst. Fourier 53, No. 4, 1185--1235 (2003; Zbl 1077.34086) Full Text: DOI Numdam EuDML Link
Balser, Werner; Kostov, Vladimir Recent progress in the theory of formal solutions for ODE and PDE. (English) Zbl 1054.34142 Appl. Math. Comput. 141, No. 1, 113-123 (2003). Reviewer: J. Saurer (Regensburg) MSC: 34M25 34M30 34M35 PDFBibTeX XMLCite \textit{W. Balser} and \textit{V. Kostov}, Appl. Math. Comput. 141, No. 1, 113--123 (2003; Zbl 1054.34142) Full Text: DOI
Hibino, Masaki Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. II. (English) Zbl 1006.35019 Publ. Res. Inst. Math. Sci. 37, No. 4, 579-614 (2001). Reviewer: L.Rodino (Torino) MSC: 35C10 35E20 35C20 PDFBibTeX XMLCite \textit{M. Hibino}, Publ. Res. Inst. Math. Sci. 37, No. 4, 579--614 (2001; Zbl 1006.35019) Full Text: DOI