Chiyo, Yutaro; Sugawara, Kazuma; Yokota, Tomomi Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models with signal-dependent sensitivity in high dimensions. (English) Zbl 07782657 Appl. Math. Lett. 149, Article ID 108908, 5 p. (2024). MSC: 35K51 35B40 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Chiyo} et al., Appl. Math. Lett. 149, Article ID 108908, 5 p. (2024; Zbl 07782657) Full Text: DOI
Ogawa, Tsukasa; Yokota, Tomomi Global existence and boundedness in a supercritical quasilinear degenerate Keller-Segel system under relaxed smallness conditions for initial data. (English) Zbl 1504.35164 Acta Appl. Math. 180, Paper No. 3, 22 p. (2022). Reviewer: Debabrata Karmakar (Bangalore) MSC: 35K45 35A01 35B35 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{T. Ogawa} and \textit{T. Yokota}, Acta Appl. Math. 180, Paper No. 3, 22 p. (2022; Zbl 1504.35164) Full Text: DOI
Chiyo, Yutaro; Mizukami, Masaaki; Yokota, Tomomi Existence of bounded global solutions for fully parabolic attraction-repulsion chemotaxis systems with signal-dependent sensitivities and without logistic source. (English) Zbl 1496.35007 Electron. J. Differ. Equ. 2021, Paper No. 71, 10 p. (2021). MSC: 35A01 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Chiyo} et al., Electron. J. Differ. Equ. 2021, Paper No. 71, 10 p. (2021; Zbl 1496.35007) Full Text: Link
Yokota, Tomomi; Yoshii, Kentarou Solvability in abstract evolution equations with countable time delays in Banach spaces: global Lipschitz perturbation. (English) Zbl 1478.34084 Evol. Equ. Control Theory 10, No. 4, 689-699 (2021). MSC: 34K30 34K20 PDFBibTeX XMLCite \textit{T. Yokota} and \textit{K. Yoshii}, Evol. Equ. Control Theory 10, No. 4, 689--699 (2021; Zbl 1478.34084) Full Text: DOI
Mizukami, M.; Yokota, T.; Yoshimiya, N. Equilibration in a two-species-two-chemicals chemotaxis-competition system. (English) Zbl 1479.35112 Matematiche 76, No. 1, 171-191 (2021). MSC: 35B40 35K51 35K59 92C17 92D25 PDFBibTeX XMLCite \textit{M. Mizukami} et al., Matematiche 76, No. 1, 171--191 (2021; Zbl 1479.35112) Full Text: DOI
Mizukami, Masaaki; Otsuka, Hirohiko; Yokota, Tomomi Global existence and boundedness in a chemotaxis-haptotaxis system with signal-dependent sensitivity. (English) Zbl 1516.35088 J. Math. Anal. Appl. 464, No. 1, 354-369 (2018). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Mizukami} et al., J. Math. Anal. Appl. 464, No. 1, 354--369 (2018; Zbl 1516.35088) Full Text: DOI
Mizukami, Masaaki; Yokota, Tomomi A unified method for boundedness in fully parabolic chemotaxis systems with signal-dependent sensitivity. (English) Zbl 1379.35162 Math. Nachr. 290, No. 16, 2648-2660 (2017). MSC: 35K51 35A01 35B45 92C17 PDFBibTeX XMLCite \textit{M. Mizukami} and \textit{T. Yokota}, Math. Nachr. 290, No. 16, 2648--2660 (2017; Zbl 1379.35162) Full Text: DOI arXiv
Kurima, Shunsuke; Yokota, Tomomi Monotonicity methods for nonlinear diffusion equations and their approximations with error estimates. (English) Zbl 1362.35161 J. Differ. Equations 263, No. 4, 2024-2050 (2017). MSC: 35K59 35K35 47H05 35A01 PDFBibTeX XMLCite \textit{S. Kurima} and \textit{T. Yokota}, J. Differ. Equations 263, No. 4, 2024--2050 (2017; Zbl 1362.35161) Full Text: DOI
Matsubara, Ayaka; Yokota, Tomomi Applications of the Hille-Yosida theorem to the linearized equations of coupled sound and heat flow. (English) Zbl 1428.35104 AIMS Math. 1, No. 3, 165-177 (2016). MSC: 35G46 47D06 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{A. Matsubara} and \textit{T. Yokota}, AIMS Math. 1, No. 3, 165--177 (2016; Zbl 1428.35104) Full Text: DOI
Mizukami, Masaaki; Yokota, Tomomi Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion. (English) Zbl 1339.35197 J. Differ. Equations 261, No. 5, 2650-2669 (2016). Reviewer: E. Ahmed (Mansoura) MSC: 35M33 35Q92 35K57 35A01 35B35 92C17 PDFBibTeX XMLCite \textit{M. Mizukami} and \textit{T. Yokota}, J. Differ. Equations 261, No. 5, 2650--2669 (2016; Zbl 1339.35197) Full Text: DOI
Shimotsuma, Daisuke; Yokota, Tomomi; Yoshii, Kentarou Existence and decay estimates of solutions to complex Ginzburg-Landau type equations. (English) Zbl 1480.35369 J. Differ. Equations 260, No. 3, 3119-3149 (2016). MSC: 35Q56 35A01 47D06 PDFBibTeX XMLCite \textit{D. Shimotsuma} et al., J. Differ. Equations 260, No. 3, 3119--3149 (2016; Zbl 1480.35369) Full Text: DOI
Yoshii, Kentarou; Yokota, Tomomi; Suzuki, Toshiyuki; Sobajima, Motohiro; Kugo, Yuta Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces. (English) Zbl 1381.35167 Discrete Contin. Dyn. Syst. 2015, Suppl., 754-763 (2015). MSC: 35Q56 35Q55 35K55 35A01 35B10 PDFBibTeX XMLCite \textit{K. Yoshii} et al., Discrete Contin. Dyn. Syst. 2015, 754--763 (2015; Zbl 1381.35167) Full Text: DOI
Fujie, Kentarou; Nishiyama, Chihiro; Yokota, Tomomi Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with the sensitivity \(v^{-1}S(u)\). (English) Zbl 1381.35076 Discrete Contin. Dyn. Syst. 2015, Suppl., 464-472 (2015). MSC: 35K51 35Q92 35A01 35A09 35B35 35B45 92C17 PDFBibTeX XMLCite \textit{K. Fujie} et al., Discrete Contin. Dyn. Syst. 2015, 464--472 (2015; Zbl 1381.35076) Full Text: DOI
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity. (English) Zbl 1329.35011 Math. Methods Appl. Sci. 38, No. 6, 1212-1224 (2015). Reviewer: Christian Stinner (München) MSC: 35A09 35A01 35K55 92C17 35K59 PDFBibTeX XMLCite \textit{K. Fujie} et al., Math. Methods Appl. Sci. 38, No. 6, 1212--1224 (2015; Zbl 1329.35011) Full Text: DOI
Fujie, Kentarou; Ito, Akio; Yokota, Tomomi Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type. (English) Zbl 1328.35110 Adv. Math. Sci. Appl. 24, No. 1, 67-84 (2014). MSC: 35K58 35Q92 35A09 35A01 35A02 PDFBibTeX XMLCite \textit{K. Fujie} et al., Adv. Math. Sci. Appl. 24, No. 1, 67--84 (2014; Zbl 1328.35110)
Fujie, Kentarou; Yokota, Tomomi Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity. (English) Zbl 1354.92009 Appl. Math. Lett. 38, 140-143 (2014). MSC: 92C17 35K51 35A01 PDFBibTeX XMLCite \textit{K. Fujie} and \textit{T. Yokota}, Appl. Math. Lett. 38, 140--143 (2014; Zbl 1354.92009) Full Text: DOI
Fujie, Kentarou; Yokota, Tomomi Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity. (English) Zbl 1349.35005 Math. Bohem. 139, No. 4, 639-647 (2014). MSC: 35A01 35B45 35M33 92C17 PDFBibTeX XMLCite \textit{K. Fujie} and \textit{T. Yokota}, Math. Bohem. 139, No. 4, 639--647 (2014; Zbl 1349.35005) Full Text: Link
Shimotsuma, Daisuke; Yokota, Tomomi; Yoshii, Kentarou Cauchy problem for the complex Ginzburg-Landau type Equation with \(L^{p}\)-initial data. (English) Zbl 1340.35340 Math. Bohem. 139, No. 2, 353-361 (2014). MSC: 35Q56 35A01 PDFBibTeX XMLCite \textit{D. Shimotsuma} et al., Math. Bohem. 139, No. 2, 353--361 (2014; Zbl 1340.35340) Full Text: Link
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity. (English) Zbl 1297.35051 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 56-71 (2014). MSC: 35B44 35K59 35B35 35B45 92C17 PDFBibTeX XMLCite \textit{K. Fujie} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 56--71 (2014; Zbl 1297.35051) Full Text: DOI
Ishida, Sachiko; Yokota, Tomomi Remarks on the global existence of weak solutions to quasilinear degenerate Keller-Segel systems. (English) Zbl 1439.35269 Discrete Contin. Dyn. Syst. 2013, Suppl., 345-354 (2013). MSC: 35K57 35B33 35D30 PDFBibTeX XMLCite \textit{S. Ishida} and \textit{T. Yokota}, Discrete Contin. Dyn. Syst. 2013, 345--354 (2013; Zbl 1439.35269) Full Text: Link
Takeuchi, Shingo; Asakawa, Hidekazu; Yokota, Tomomi Complex Ginzburg-Landau type equations with nonlinear Laplacian. (English) Zbl 1069.35086 Kenmochi, N. (ed.) et al., Proceedings of the international conference on nonlinear partial differential equations and their applications, Shanghai, China, November 23–27, 2003. Tokyo: Gakkōtosho (ISBN 4-7625-0429-7/hbk). GAKUTO International Series. Mathematical Sciences and Applications 20, 315-332 (2004). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q55 76E30 37L30 PDFBibTeX XMLCite \textit{S. Takeuchi} et al., GAKUTO Int. Ser., Math. Sci. Appl. 20, 315--332 (2004; Zbl 1069.35086)
Yokota, Tomomi; Okazawa, Noboru Nonlinear \(p\)-heat equations with singular potentials. (English) Zbl 1040.35040 Kubrusly, Carlos (ed.) et al., Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10–14, 2001. New York, NY: Optimization Software Inc., Publications (ISBN 0-911575-11-1/hbk). 357-367 (2002). MSC: 35K55 35K20 PDFBibTeX XMLCite \textit{T. Yokota} and \textit{N. Okazawa}, in: Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10--14, 2001. New York, NY: Optimization Software Inc., Publications. 357--367 (2002; Zbl 1040.35040)
Okazawa, Noboru; Yokota, Tomomi Global existence and smoothing effect for the complex Ginzburg-Landau equation with \(p\)-Laplacian. (English) Zbl 1005.35086 J. Differ. Equations 182, No. 2, 541-576 (2002). Reviewer: Jan Chrastina (Brno) MSC: 35Q55 35A05 47H05 47H06 PDFBibTeX XMLCite \textit{N. Okazawa} and \textit{T. Yokota}, J. Differ. Equations 182, No. 2, 541--576 (2002; Zbl 1005.35086) Full Text: DOI
Okazawa, Noboru; Yokota, Tomomi Monotonicity method applied to the complex Ginzburg-Landau and related equations. (English) Zbl 0995.35029 J. Math. Anal. Appl. 267, No. 1, 247-263 (2002). Reviewer: X.Xiang (Guiyang) MSC: 35K55 35Q55 35B45 PDFBibTeX XMLCite \textit{N. Okazawa} and \textit{T. Yokota}, J. Math. Anal. Appl. 267, No. 1, 247--263 (2002; Zbl 0995.35029) Full Text: DOI