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
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
Ishige, Kazuhiro; Liu, Qing; Salani, Paolo Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations. (English. French summary) Zbl 1445.35116 J. Math. Pures Appl. (9) 141, 342-370 (2020). MSC: 35D40 35K20 52A01 PDFBibTeX XMLCite \textit{K. Ishige} et al., J. Math. Pures Appl. (9) 141, 342--370 (2020; Zbl 1445.35116) Full Text: DOI arXiv Link
Ishige, Kazuhiro; Miyake, Nobuhito; Okabe, Shinya Blowup for a fourth-order parabolic equation with gradient nonlinearity. (English) Zbl 1431.35057 SIAM J. Math. Anal. 52, No. 1, 927-953 (2020). MSC: 35K25 35K55 35B44 35Q74 74H20 74K35 PDFBibTeX XMLCite \textit{K. Ishige} et al., SIAM J. Math. Anal. 52, No. 1, 927--953 (2020; Zbl 1431.35057) Full Text: DOI
Ishige, Kazuhiro; Kabeya, Yoshitsugu; Mukai, Asato Hot spots of solutions to the heat equation with inverse square potential. (English) Zbl 1420.35110 Appl. Anal. 98, No. 10, 1843-1861 (2019). MSC: 35K05 35K15 PDFBibTeX XMLCite \textit{K. Ishige} et al., Appl. Anal. 98, No. 10, 1843--1861 (2019; Zbl 1420.35110) Full Text: DOI arXiv
Ishige, Kazuhiro; Mukai, Asato Large time behavior of solutions of the heat equation with inverse square potential. (English) Zbl 1393.35075 Discrete Contin. Dyn. Syst. 38, No. 8, 4041-4069 (2018). MSC: 35K15 35B40 35K67 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{A. Mukai}, Discrete Contin. Dyn. Syst. 38, No. 8, 4041--4069 (2018; Zbl 1393.35075) Full Text: DOI arXiv
Hisa, Kotaro; Ishige, Kazuhiro Existence of solutions for a fractional semilinear parabolic equation with singular initial data. (English) Zbl 1393.35275 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 108-132 (2018). MSC: 35R11 PDFBibTeX XMLCite \textit{K. Hisa} and \textit{K. Ishige}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 108--132 (2018; Zbl 1393.35275) Full Text: DOI arXiv
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
Ishige, Kazuhiro; Sato, Ryuichi Heat equation with a nonlinear boundary condition and uniformly local \(L^r\) spaces. (English) Zbl 1338.35229 Discrete Contin. Dyn. Syst. 36, No. 5, 2627-2652 (2016). Reviewer: Denise Huet (Nancy) MSC: 35K55 35B44 35K60 35K05 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{R. Sato}, Discrete Contin. Dyn. Syst. 36, No. 5, 2627--2652 (2016; Zbl 1338.35229) Full Text: DOI arXiv
Ishige, Kazuhiro; Nakagawa, Kazushige; Salani, Paolo Power concavity in weakly coupled elliptic and parabolic systems. (English) Zbl 1332.35014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 81-97 (2016). MSC: 35B05 35K51 35D40 35J57 35K58 PDFBibTeX XMLCite \textit{K. Ishige} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 81--97 (2016; Zbl 1332.35014) Full Text: DOI
Ishige, Kazuhiro; Salani, Paolo Parabolic Minkowski convolutions of solutions to parabolic boundary value problems. (English) Zbl 1386.35223 Adv. Math. 287, 640-673 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35K59 35K20 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{P. Salani}, Adv. Math. 287, 640--673 (2016; Zbl 1386.35223) Full Text: DOI
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
Ishige, Kazuhiro; Salani, Paolo Parabolic power concavity and parabolic boundary value problems. (English) Zbl 1325.35071 Math. Ann. 358, No. 3-4, 1091-1117 (2014). Reviewer: Antonio Greco (Cagliari) MSC: 35K05 52A01 35B30 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{P. Salani}, Math. Ann. 358, No. 3--4, 1091--1117 (2014; Zbl 1325.35071) Full Text: DOI arXiv
Andreucci, Daniele; Ishige, Kazuhiro Local quasi-concavity of the solutions of the heat equation with a nonnegative potential. (English) Zbl 1272.35112 Ann. Mat. Pura Appl. (4) 192, No. 3, 329-348 (2013). MSC: 35K15 35B40 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{K. Ishige}, Ann. Mat. Pura Appl. (4) 192, No. 3, 329--348 (2013; Zbl 1272.35112) Full Text: DOI
Ishige, Kazuhiro; Kabeya, Yoshitsugu \(L^p\) norms of nonnegative Schrödinger heat semigroup and the large time behavior of hot spots. (English) Zbl 1252.35066 J. Funct. Anal. 262, No. 6, 2695-2733 (2012). Reviewer: Michael Reissig (Freiberg) MSC: 35B40 35K15 47D06 35J10 PDFBibTeX XMLCite \textit{K. Ishige} and \textit{Y. Kabeya}, J. Funct. Anal. 262, No. 6, 2695--2733 (2012; Zbl 1252.35066) Full Text: DOI