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J-GLOBAL ID：200901042983243668
Update date: Nov. 10, 2024
Kajikiya Ryuji
カジキヤ リユウジ | Kajikiya Ryuji
Affiliation and department：
Job title：
Professor
Research field (1)：
Basic analysis
Research keywords (2)：
偏微分方程式
, partial differential equation
Research theme for competitive and other funds (20)：
- 2024 - 2029 Evolution equations describing singularities of non-equilibrium systems beyond the linear-response regime and development of nonlocal-nonlinear analysis
- 2020 - 2024 楕円型偏微分方程式の解の対称性と非対称性
- 2020 - 2024 Evolution equations describing non-standard irreversible processes --Analysis on singularities emerging in the dynamics of solutions--
- 2016 - 2022 Asymmetric solutions of elliptic partial differential equations
- 2016 - 2020 Evolution equations describing non-standard irreversible processes
- 2014 - 2018 Critical exponent and the behavior of solutions to nonlinear parabolic partial differential equations
- 2013 - 2016 Diffusion wave property of the solutions to the system of the viscous fluid flow
- 2012 - 2016 Symmetry of solutions for elliptic partial differential equations
- 2011 - 2015 Singularity of solutions for nonlinear partial differential equations of parabolic type and structure of solutions for the stationary problems
- 2010 - 2012 Structure of the solutions to the system ofcompressible fluid
- 2008 - 2011 Structure of solution spaces for singular partial differential equations.
- 2004 - 2007 Multiple existence and structure of solutions for semilinear elliptic equations.
- 2000 - 2003 Qualitative theory of solutions for semilinear elliptic partial differential equations
- 1996 - 1998 Study of solution space of nonlinear partial differential equations
- 1994 - 1996 Viscosity solutions of nonlinear partial differential equations and its applications
- 1994 - 1994 連続時間ベクトル値マルコフ決定過程の凸最適解の研究
- 1993 - 1993 非線形楕円型方程式の解の構造の研究
- 1992 - 1993 Semigroups of Locally Lipschitzian Operators and applications
- 楕円型偏微分方程式に関する研究
- Study on elliptic partial differential equation
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Papers (227)：
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R. Kajikiya. Bifurcation of nodal solutions for the Moore-Nehari differential equation. Nonlinear Differential Equations and Applications. 2023. 30. 1
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Ryuji KAJIKIYA. Symmetric and asymmetric nodal solutions for the Moore-Nehari differential equation. Journal of the Mathematical Society of Japan. 2022. 74. 2. 655-680
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R. Kajikiya. Bifurcation of symmetric solutions for the sublinear Moore-Nehari differential equation. J. Math. Anal. Appl. 2022. 512. 1
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R. Kajikiya. Boundedness of critical points in the symmetric mountain pass lemma. J. Convex Anal. 2022. 29. 2. 443-458
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Ryuji Kajikiya. Existence of nodal solutions for the sublinear Moore-Nehari differential equation. Discrete and Continuous Dynamical Systems. Series A. 2021. 41. 3. 1483-1506
ｍore...
MISC (46)：
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Kajikiya Ryuji. Stability of stationary solutions for semilinear parabolic equations (常微分方程式の定性的理論とその周辺). 数理解析研究所講究録. 2017. 2032. 101-108
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Akagi Goro, Kajikiya Ryuji. Stability and instability of asymptotic profiles of solutions for fast diffusion equations (Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws). RIMS Kokyuroku. 2013. 1845. 1-12
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Kajikiya Ryuji. Semilinear elliptic equations in symmetric domains (Progress in Variational Problems : Variational Problems Interacting with Probability Theories). RIMS Kokyuroku. 2013. 1837. 142-151
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Kajikiya Ryuji. Asymptotic behavior of solutions for $p$-Laplace parabolic equations (Mathematical Analysis and Functional Equations from New Points of View). RIMS Kokyuroku. 2011. 1750. 29-35
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Kajikiya Ryuji. Mountain pass theorem in ordered Banach spaces and its applications (Variational Problems and Related Topics). RIMS Kokyuroku. 2009. 1671. 113-119
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Books (2)：
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Existence of group invariant solutions of a certain semilinear elliptic equation.
Proceedings of the Ninth International Colloquium on Differential Equations, (D. Bainov, ed.), VSP International Science Publisher, 1999
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Existence of group invariant solutions of a certain semilinear elliptic equation.
Proceedings of the Ninth International Colloquium on Differential Equations, (D. Bainov, ed.), VSP International Science Publisher, 1999
Professional career (1)：
- Doctor of Science (Hiroshima University)
Association Membership(s) (2)：
日本数学会
, Mathematical society of Japan
