Hasegawa, Shoichi; Ikoma, Norihisa; Kawakami, Tatsuki On weak solutions to a fractional Hardy-Hénon equation. II: Existence. (English) Zbl 1504.35621 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113165, 48 p. (2023). MSC: 35R11 35B09 35B33 35B35 35D30 35J61 PDFBibTeX XMLCite \textit{S. Hasegawa} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113165, 48 p. (2023; Zbl 1504.35621) Full Text: DOI arXiv
Ishige, Kazuhiro; Kawakami, Tatsuki; Okabe, Shinya Existence of solutions to nonlinear parabolic equations via majorant integral kernel. (English) Zbl 1495.35096 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113025, 22 p. (2022). MSC: 35K30 35K08 35K58 35R11 45G10 PDFBibTeX XMLCite \textit{K. Ishige} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113025, 22 p. (2022; Zbl 1495.35096) Full Text: DOI arXiv
Furioli, Giulia; Kawakami, Tatsuki; Terraneo, Elide Heat equation with an exponential nonlinear boundary condition in the half space. (English) Zbl 1490.35206 SN Partial Differ. Equ. Appl. 3, No. 3, Paper No. 36, 44 p. (2022). MSC: 35K60 35A01 35B40 46E30 PDFBibTeX XMLCite \textit{G. Furioli} et al., SN Partial Differ. Equ. Appl. 3, No. 3, Paper No. 36, 44 p. (2022; Zbl 1490.35206) Full Text: DOI
Ishige, Kazuhiro; Kawakami, Tatsuki; Okabe, Shinya Existence of solutions for a higher-order semilinear parabolic equation with singular initial data. (English) Zbl 1454.35222 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 5, 1185-1209 (2020). MSC: 35K58 35K30 PDFBibTeX XMLCite \textit{K. Ishige} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 5, 1185--1209 (2020; Zbl 1454.35222) Full Text: DOI arXiv
Fujishima, Yohei; Kawakami, Tatsuki; Sire, Yannick Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients. (English) Zbl 1419.35122 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 62, 25 p. (2019). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 35K58 35B33 35K65 PDFBibTeX XMLCite \textit{Y. Fujishima} et al., Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 62, 25 p. (2019; Zbl 1419.35122) Full Text: DOI
Furioli, Giulia; Kawakami, Tatsuki; Ruf, Bernhard; Terraneo, Elide Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity. (English) Zbl 1361.35069 J. Differ. Equations 262, No. 1, 145-180 (2017). Reviewer: Lubomira Softova (Aversa) MSC: 35K20 35K58 PDFBibTeX XMLCite \textit{G. Furioli} et al., J. Differ. Equations 262, No. 1, 145--180 (2017; Zbl 1361.35069) Full Text: DOI arXiv
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition. (English. French summary) Zbl 1344.35055 J. Math. Pures Appl. (9) 105, No. 6, 788-809 (2016). Reviewer: Lubomira Softova (Aversa) MSC: 35J91 35B53 35J25 PDFBibTeX XMLCite \textit{M. Fila} et al., J. Math. Pures Appl. (9) 105, No. 6, 788--809 (2016; Zbl 1344.35055) Full Text: DOI
Ishige, Kazuhiro; Kawakami, Tatsuki; Sierżȩga, Mikołaj Supersolutions for a class of nonlinear parabolic systems. (English) Zbl 1338.35228 J. Differ. Equations 260, No. 7, 6084-6107 (2016). Reviewer: Hussein Fakih (Poitiers) MSC: 35K55 35B44 74G20 PDFBibTeX XMLCite \textit{K. Ishige} et al., J. Differ. Equations 260, No. 7, 6084--6107 (2016; Zbl 1338.35228) Full Text: DOI arXiv
Ishige, Kazuhiro; Kawakami, Tatsuki; Kobayashi, Kanako Asymptotics for a nonlinear integral equation with a generalized heat kernel. (English) Zbl 1333.45010 J. Evol. Equ. 14, No. 4-5, 749-777 (2014). Reviewer: Martin Väth (Prague) MSC: 45M05 35K08 45G10 35K05 35C15 35R11 35K58 PDFBibTeX XMLCite \textit{K. Ishige} et al., J. Evol. Equ. 14, No. 4--5, 749--777 (2014; Zbl 1333.45010) Full Text: DOI arXiv
Ishige, Kazuhiro; Kawakami, Tatsuki; Kobayashi, Kanako Global solutions for a nonlinear integral equation with a generalized heat kernel. (English) Zbl 1288.45004 Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 767-783 (2014). MSC: 45G10 35K58 35K91 PDFBibTeX XMLCite \textit{K. Ishige} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 767--783 (2014; Zbl 1288.45004) Full Text: DOI
Ishige, Kazuhiro; Kawakami, Tatsuki Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations. (English) Zbl 1282.35130 J. Anal. Math. 121, 317-351 (2013). MSC: 35C20 35K15 35K58 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{T. Kawakami}, J. Anal. Math. 121, 317--351 (2013; Zbl 1282.35130) Full Text: DOI arXiv
Ishige, Kazuhiro; Kawakami, Tatsuki Refined asymptotic profiles for a semilinear heat equation. (English) Zbl 1252.35117 Math. Ann. 353, No. 1, 161-192 (2012). Reviewer: Mersaid Aripov (Tashkent) MSC: 35C20 35K58 35B40 35B20 35B35 35K15 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{T. Kawakami}, Math. Ann. 353, No. 1, 161--192 (2012; Zbl 1252.35117) Full Text: DOI
Ishige, Kazuhiro; Kawakami, Tatsuki Global solutions of the heat equation with a nonlinear boundary condition. (English) Zbl 1213.35102 Calc. Var. Partial Differ. Equ. 39, No. 3-4, 429-457 (2010). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B40 35K60 35K05 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{T. Kawakami}, Calc. Var. Partial Differ. Equ. 39, No. 3--4, 429--457 (2010; Zbl 1213.35102) Full Text: DOI
Kawakami, Tatsuki Global existence of solutions for the heat equation with a nonlinear boundary condition. (English) Zbl 1192.35105 J. Math. Anal. Appl. 368, No. 1, 320-329 (2010). MSC: 35K60 35B40 PDFBibTeX XMLCite \textit{T. Kawakami}, J. Math. Anal. Appl. 368, No. 1, 320--329 (2010; Zbl 1192.35105) Full Text: DOI