Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data. (English) Zbl 1518.35425 Z. Angew. Math. Phys. 74, No. 4, Paper No. 143, 17 p. (2023). MSC: 35K05 35K20 35A01 PDFBibTeX XMLCite \textit{M. Fila} et al., Z. Angew. Math. Phys. 74, No. 4, Paper No. 143, 17 p. (2023; Zbl 1518.35425) 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
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki The large diffusion limit for the heat equation with a dynamical boundary condition. (English) Zbl 1450.35031 Commun. Contemp. Math. 23, No. 1, Article ID 2050003, 20 p. (2021). MSC: 35B25 35K05 35A01 35K20 35B30 PDFBibTeX XMLCite \textit{M. Fila} et al., Commun. Contemp. Math. 23, No. 1, Article ID 2050003, 20 p. (2021; Zbl 1450.35031) Full Text: DOI arXiv
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
Ishige, Kazuhiro; Kawakami, Tatsuki; Michihisa, Hironori Asymptotic expansions of solutions of fractional diffusion equations. (English) Zbl 1372.35338 SIAM J. Math. Anal. 49, No. 3, 2167-2190 (2017). MSC: 35R11 35C20 35K58 35B44 PDFBibTeX XMLCite \textit{K. Ishige} et al., SIAM J. Math. Anal. 49, No. 3, 2167--2190 (2017; Zbl 1372.35338) Full Text: DOI arXiv
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 Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data. (English) Zbl 1386.35099 J. Elliptic Parabol. Equ. 1, No. 2, 335-362 (2015). MSC: 35J61 35B40 35J25 PDFBibTeX XMLCite \textit{M. Fila} et al., J. Elliptic Parabol. Equ. 1, No. 2, 335--362 (2015; Zbl 1386.35099) Full Text: DOI
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