Matsumoto, Toshitaka; Tanaka, Naoki Abstract Cauchy problem for weakly continuous operators. (English) Zbl 1330.35266 J. Math. Anal. Appl. 435, No. 1, 267-285 (2016). MSC: 35L90 35L71 35L20 35Q55 PDFBibTeX XMLCite \textit{T. Matsumoto} and \textit{N. Tanaka}, J. Math. Anal. Appl. 435, No. 1, 267--285 (2016; Zbl 1330.35266) Full Text: DOI
Matsumoto, Toshitaka; Tanaka, Naoki Nonlinear perturbations of a class of holomorphic semigroups of growth order \({\alpha}\) by comparison theorems for Volterra equations. (English) Zbl 1336.35206 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 146-175 (2013). MSC: 35K90 45D05 34G10 PDFBibTeX XMLCite \textit{T. Matsumoto} and \textit{N. Tanaka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 146--175 (2013; Zbl 1336.35206) Full Text: DOI
Matsumoto, Toshitaka; Ogawa, Takayoshi Interpolation inequality of logarithmic type in abstract Besov spaces and an application to semilinear evolution equations. (English) Zbl 1215.46025 Math. Nachr. 283, No. 12, 1810-1828 (2010). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 46B70 46E30 35K90 47J35 PDFBibTeX XMLCite \textit{T. Matsumoto} and \textit{T. Ogawa}, Math. Nachr. 283, No. 12, 1810--1828 (2010; Zbl 1215.46025) Full Text: DOI
Matsumoto, Toshitaka; Tanaka, Naoki Well-posedness for the complex Ginzburg-Landau equations. (English) Zbl 1208.35143 Aiki, T. (ed.) et al., Current advances in nonlinear analysis and related topics. Collected papers of the conference on nonlinear evolution equations and related topics, Tokyo, Japan, October 10–12, 2009, the 4th Polish-Japanese days on current advances in applied nonlinear analysis and mathematical modelling issues, Warsaw, Poland, May 18–21, 2009 and the RIMS conference on nonlinear evolution equations and mathematical modeling, Kyoto, Japan, October 20–24, 2009. Tokyo: Gakkōtosho (ISBN 978-4-7625-0457-0/hbk). GAKUTO International Series. Mathematical Sciences and Applications 32, 429-442 (2010). MSC: 35Q56 47H20 35B65 35B30 PDFBibTeX XMLCite \textit{T. Matsumoto} and \textit{N. Tanaka}, GAKUTO Int. Ser., Math. Sci. Appl. 32, 429--442 (2010; Zbl 1208.35143)
Matsumoto, Toshitaka; Tanaka, Naoki Lipschitz semigroup approach to drift-diffusion systems. (English) Zbl 1202.47063 RIMS Kôkyûroku Bessatsu B15, 147-177 (2009). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 47H20 47H14 34G20 35K90 PDFBibTeX XMLCite \textit{T. Matsumoto} and \textit{N. Tanaka}, RIMS Kôkyûroku Bessatsu B15, 147--177 (2009; Zbl 1202.47063)
Shanthidevi, Chintha Nandanie; Matsumoto, Toshitaka; Oharu, Shinnosuke Nonlinear semigroup approach to age structured proliferating cell population with inherited cycle length. (English) Zbl 1156.92314 Nonlinear Anal., Real World Appl. 9, No. 5, 1905-1917 (2008). MSC: 92C37 47N60 47D99 35Q92 PDFBibTeX XMLCite \textit{C. N. Shanthidevi} et al., Nonlinear Anal., Real World Appl. 9, No. 5, 1905--1917 (2008; Zbl 1156.92314) Full Text: DOI
Martin, Robert H. jun.; Matsumoto, Toshitaka; Oharu, Shinnosuke; Tanaka, Naoki Time-dependent nonlinear perturbations of analytic semigroups. (English) Zbl 1175.34075 Amann, Herbert (ed.) et al., Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser (ISBN 978-3-7643-7793-9/hbk). 457-502 (2008). Reviewer: Marianne Reichert (Frankfurt am Main) MSC: 34G20 35K90 47D06 35K57 PDFBibTeX XMLCite \textit{R. H. Martin jun.} et al., in: Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser. 457--502 (2008; Zbl 1175.34075)
Matsumoto, Toshitaka; Tanaka, Naoki Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type. (English) Zbl 1169.47045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 4025-4054 (2008). Reviewer: Evgeniy Panov (Novgorod) MSC: 47H20 47H14 34G20 35K90 PDFBibTeX XMLCite \textit{T. Matsumoto} and \textit{N. Tanaka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 4025--4054 (2008; Zbl 1169.47045) Full Text: DOI
Matsumoto, Toshitaka; Oharu, Shinnosuke; Shitaoka, Koichi On the semigroup approach to age-dependent spatially distributed two sex models of population dynamics. (English) Zbl 1046.92038 Adv. Math. Sci. Appl. 13, No. 2, 423-442 (2003). MSC: 92D25 35Q92 35K55 47D62 47H20 47N60 91D20 PDFBibTeX XMLCite \textit{T. Matsumoto} et al., Adv. Math. Sci. Appl. 13, No. 2, 423--442 (2003; Zbl 1046.92038)
Matsumoto, Toshitaka (ed.) On well-posedness and regularity of solutions to partial differential equations. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, May 28–June 1, 2001. (English, Japanese) Zbl 1024.35502 RIMS Kokyuroku 1284, iv, 104 p. (2002). MSC: 35-06 00B25 PDFBibTeX XMLCite \textit{T. Matsumoto} (ed.), RIMS Kokyuroku 1284, iv, 104 p. (2002; Zbl 1024.35502)
Matsumoto, Toshitaka; Oharu, Shinnosuke Semilinear evolution equations with nonlinear constraints and applications. (English) Zbl 1175.35148 J. Evol. Equ. 2, No. 2, 197-222 (2002). Reviewer: Ioan I. Vrabie (Iaşi) MSC: 35Q92 92D25 PDFBibTeX XMLCite \textit{T. Matsumoto} and \textit{S. Oharu}, J. Evol. Equ. 2, No. 2, 197--222 (2002; Zbl 1175.35148) Full Text: DOI
Peiris, Joseph Jude; Matsumoto, Toshitaka Quasilinear reaction-diffusion systems in \(L^\infty\) spaces. (English) Zbl 1017.35055 Nihonkai Math. J. 9, No. 2, 171-186 (1998). MSC: 35K65 35K60 47H06 47H20 35K57 PDFBibTeX XMLCite \textit{J. J. Peiris} and \textit{T. Matsumoto}, Nihonkai Math. J. 9, No. 2, 171--186 (1998; Zbl 1017.35055)
Matsumoto, Toshitaka Time-dependent nonlinear perturbations of integrated semigroups. (English) Zbl 0997.47514 Nihonkai Math. J. 7, No. 1, 1-28 (1996). MSC: 47H20 34G20 35K57 PDFBibTeX XMLCite \textit{T. Matsumoto}, Nihonkai Math. J. 7, No. 1, 1--28 (1996; Zbl 0997.47514)