2009 - 2012 Development of representation of elastic waves and investigation of their fundamental properties
2007 - 2010 アレー効果を伴う人口動態論から由来する非線形楕円型境界値問題の研究
2007 - 2009 Study of nonlinear boundary value problems by topological methods
2007 - 2009 Mathematical Analysis for Inverse Scattering Problems of Elastic Waves
2004 - 2007 Inverse problems in Mathematical Biology, Chemistry and Technology
2004 - 2007 人口動態論から要請された非線形楕円型境界値問題の正値解に対する定性的研究
2003 - 2005 Analysis of fundamental properties of elastic equations
1998 - 2000 Brownian Motion and Nonlinear Boundary Value Problems
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Papers (48):
Kenichiro Umezu. Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting II. Journal of Mathematical Analysis and Applications. 2024. 534. 1. 128134
Kenichiro Umezu. Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting. Nonlinear Analysis: Real World Applications. 2023. 70. 103788
Kenichiro Umezu. Uniqueness of a positive solution for the Laplace equation with indefinite superlinear boundary condition. Journal of Differential Equations. 2023. 350. 124-151
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. Nonnegative solutions of an indefinite sublinear Robin problem II: local and global exactness results. Israel Journal of Mathematics. 2022. 247. 661-696
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. Uniqueness and positivity issues in a quasilinear indefinite problem. Calculus of Variations and Partial Differential Equations. 2021. 60. article number 187
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. Past and recent contributions to indefinite sublinear elliptic problems. Rendiconti dell'Istituto di Matematica dell'Università di Trieste. 2020. 52. 1. 217-241
Humberto Ramos Quoirin, Kenichiro Umezu. An indefinite superlinear elliptic equation with a nonlinear boundary condition of sublinear type. Sūrikaisekikenkyūsho Kōkyūroku. 2016. 2006. 2006. 68-88
Kenichiro Umezu. Semilinear elliptic boundary value problems in chemical reactor theory (Japanese). Sūrikaisekikenkyūsho Kōkyūroku. 1998. 1025. 99-117
Lectures and oral presentations (77):
Positive solutions for logistic type elliptic equation with a non Lipschitz boundary condition arising in coastal fishery harvesting
(Equadiff2024 in Karlstad 2024)
Positive solutions for some sublinear Robin problem with an indefinite weight
(The Friday Seminar of Ibaraki University 2023)
An exact multiplicity result for some sublinear Robin problem with an indefinite weight
(The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications in Wilmington NC 2023)
Logistic elliptic equations with the nonlinear boundary condition arising in coast fishery harvesting
(The Applied Mathematical Analysis Seminar of Tohoku University 2022)
Uniqueness of a positive solution for the Laplace equation with indefinite superlinear boundary conditions: near a critical case
(The South Osaka Applied Mathematics Seminar 2021)