paper

S. Ishida, T. Yokota, ``Boundedness and weak stabilization in a degenerate chemotaxis model arising from tumor invasion'', J. Differential Equations, (2023) Vol 371, 450--480.

S. Ishida, T. Yokota, ``Application of weak stabilization theory for degenerate parabolic equations in divergence form to a chemotaxis model for tumor invasion'', Discrete Contin. Dyn. Syst. Ser. B, (2023) 28, 5296--5306.

S. Ishida, T. Yokota, ``Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems'',  Arch. Math. (Brno) 59 (2023), no. 2, 181--189.

S. Ishida, T. Yokota, ``Weak stabilization in degenerate parabolic equations in divergence form: application to degenerate Keller–Segel systems'', Calc. Var. Part. Differ. Equ., Vol. 61 (2021), 

S.Ishida, T. Yokota, ``Boundedness in a quasilinear fully parabolic Keller-Segel system via maximal Sobolev regularity '',  Special issue of the Journal "Discrete and Dynamical Systems - S" with title "Analysis of cross-diffusion systems", Vol. 13 (2020), 211--232.

T. Hashira, S.Ishida, T. Yokota, ``Finite-time blow-up for quasilinear degenerate Keller–Segel systems of parabolic–parabolic type'',  J. Differential Equations, Vol. 264 (2018), pp. 6459–6485.

K. Fujie, S. Ishida, A. Ito, T. Yokota, “Large time behavior in a chemotaxis model with nonlinear general diffusion for tumor invasion”, Funkcialaj Ekvacioj, 61 (2018), 37--80.

S. Ishida, ``Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains'', Discrete Contin. Dyn. Syst. Vol.35, (2015), pp.3463--3482.

S. Ishida, ``An iterative approach to $L^\infty$-boundedness in quasilinear Keller-Segel systems'', Discrete Contin. Dyn. Syst. 2015, Dynamical systems, differential equations and applications. 10th AIMS Conference. Suppl., pp.635--643.

X. Cao, S. Ishida, ``Global-in-time bounded weak solutions to a degenerate quasilinear Keller-Segel system with rotation'', Nonlinearity, 27 (2014), 1899--1913.

S. Ishida, K. Seki, T. Yokota, ``Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains'', J. Differential Equations, Vol.256 (2014), pp.2993--3010. 

S. Ishida, T. Yokota, ``Remarks on the global existence of weak solutions to quasilinear degenerate Keller-Segel systems.'', Discrete Contin. Dyn. Syst. 2013, Dynamical systems, differential equations and applications. 9th AIMS Conference. Suppl., pp.345--354.

S. Ishida, ``$L^\infty$-decay property for quasilinear degenerate parabolic-elliptic Keller-Segel systems'', Discrete Contin. Dyn. Syst. 2013, Dynamical systems, differential equations and applications. 9th AIMS Conference. Suppl., pp.335--3

. Ishida, Y. Maeda, T. Yokota, ``Gradient estimate for solutions to quasilinear non- degenerate Keller-Segel systems on \mathbb{R}^N'', Discrete Contin. Dyn. Syst. Ser. B, 18 (2013), 2537--2568.

S. Ishida, T. Ono, T. Yokota, ``Possibility of the existence of blow-up solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type'', Math. Methods Appl. Sci., 36 (2013), 745--76

 Ishida, T. Yokota, ``Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type'', Discrete Contin. Dyn. Syst. Ser. B, Vol.18 (2013), pp.2569-25

N. Takemoto, S. Ishida, T. Yokota, ``Existence and $L^\infty$-decay property of global weak solutions to quasilinear parabolic equations with convection'', GAKUTO Internat. Ser. Math. Sci. Appl., Vol.36 (2013), pp.247--275.

S. Ishida, T. Yokota, ``Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type with small data'', J. Differential Equations, Vol.252 (2012), pp.2469--2491.

S. Ishida, T. Yokota, ``Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type'', J. Differential Equations, Vol.252 (2012), pp.1421--1440.

S. Ishida, T. Yokota, ``Mathematical analysis of a chemotaxis model via maximal regularity'', Proceedings of the 41st Sapporo Symposium on Partial Differential Equations, (2016), pp.23--28.

S. Ishida, ``$L^\infty$-decay property for parabolic-elliptic Keller-Segel systems with porous- medium diffusion'', RIMS K\^{o}ky\^{u}roku, Vol.1969 (2015), pp.123--145.

S. Ishida, `` Report on the chemotaxis-fluid systems'', RIMS K\^{o}ky\^{u}roku, Vol.1892 (2014), pp.29--36.

S. Ishida, ``Boundedness in degenerate Keller-Segel systems of parabolic-parabolic type'', Proceedings of the 38th Sapporo Symposium on Partial Differential Equations, (2013), pp.19--28.

石田祥子, ``On the possibility of the blow-up in quasilinear degenerate Keller-Segel systems'', 第34回発展方程式若手セミナー報告集, (2012), pp.99--108.

石田祥子, ``準線形退化型Keller-Segel系に対する最大正則性原理を用いた時間大域的可解性'', 第33回発展方程式若手セミナー報告集, (2011), pp.77--80.

2017年度 日本数学会賞建部賢弘賞 奨励賞: 受賞題目「準線形退化型ケラー・シーゲル系の研究」